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28660400 = 2452137523
BaseRepresentation
bin110110101010…
…1001010110000
31222221002200022
41231111022300
524314113100
62502143012
7465416006
oct155251260
958832608
1028660400
11151a5a8a
129721a68
135c26322
143b40a76
1527b1e85
hex1b552b0

28660400 has 60 divisors (see below), whose sum is σ = 69491832. Its totient is φ = 11358720.

The previous prime is 28660397. The next prime is 28660409. The reversal of 28660400 is 406682.

It is a self number, because there is not a number n which added to its sum of digits gives 28660400.

It is not an unprimeable number, because it can be changed into a prime (28660409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54539 + ... + 55061.

Almost surely, 228660400 is an apocalyptic number.

28660400 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 28660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34745916).

28660400 is an abundant number, since it is smaller than the sum of its proper divisors (40831432).

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

28660400 is a wasteful number, since it uses less digits than its factorization.

28660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 28660400 is about 5353.5408843120. The cubic root of 28660400 is about 306.0277076310.

The spelling of 28660400 in words is "twenty-eight million, six hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 137 200 274 400 523 548 685 1046 1096 1370 2092 2192 2615 2740 3425 4184 5230 5480 6850 8368 10460 10960 13075 13700 20920 26150 27400 41840 52300 54800 71651 104600 143302 209200 286604 358255 573208 716510 1146416 1433020 1791275 2866040 3582550 5732080 7165100 14330200 28660400