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28850400 = 2532524007
BaseRepresentation
bin110111000001…
…1100011100000
32000021202022100
41232003203200
524341203100
62510210400
7500136645
oct156034340
960252270
1028850400
1115315807
1297b3a00
135c91957
143b8ddcc
1527ed400
hex1b838e0

28850400 has 108 divisors (see below), whose sum is σ = 101759112. Its totient is φ = 7691520.

The previous prime is 28850399. The next prime is 28850443. The reversal of 28850400 is 405882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5197 + ... + 9203.

It is an arithmetic number, because the mean of its divisors is an integer number (942214).

Almost surely, 228850400 is an apocalyptic number.

28850400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50879556).

28850400 is an abundant number, since it is smaller than the sum of its proper divisors (72908712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28850400 is a wasteful number, since it uses less digits than its factorization.

28850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28850400 is about 5371.2568361604. The cubic root of 28850400 is about 306.7024742897.

The spelling of 28850400 in words is "twenty-eight million, eight hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 4007 7200 8014 12021 16028 20035 24042 32056 36063 40070 48084 60105 64112 72126 80140 96168 100175 120210 128224 144252 160280 180315 192336 200350 240420 288504 300525 320560 360630 384672 400700 480840 577008 601050 641120 721260 801400 901575 961680 1154016 1202100 1442520 1602800 1803150 1923360 2404200 2885040 3205600 3606300 4808400 5770080 7212600 9616800 14425200 28850400