Search a number
-
+
28390703040 = 2633572916187
BaseRepresentation
bin11010011100001101…
…111011111111000000
32201021121010010222000
4122130031323333000
5431121004444130
621013103144000
72023355664660
oct323415737700
981247103860
1028390703040
11110498a2447
125603ba5000
1328a5b5578b
1415348141a0
15b126e0260
hex69c37bfc0

28390703040 has 448 divisors, whose sum is σ = 118418457600. Its totient is φ = 6265147392.

The previous prime is 28390703023. The next prime is 28390703041. The reversal of 28390703040 is 4030709382.

28390703040 is a `hidden beast` number, since 283 + 9 + 0 + 70 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28390702986 and 28390703004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28390703041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1745827 + ... + 1762013.

Almost surely, 228390703040 is an apocalyptic number.

28390703040 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 28390703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59209228800).

28390703040 is an abundant number, since it is smaller than the sum of its proper divisors (90027754560).

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

28390703040 is a wasteful number, since it uses less digits than its factorization.

28390703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249 (or 16233 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 28390703040 in words is "twenty-eight billion, three hundred ninety million, seven hundred three thousand, forty".