28762905600 has 1320 divisors, whose sum is σ = 126415481808. Its totient is φ = 6370099200.

The previous prime is 28762905581. The next prime is 28762905617. The reversal of 28762905600 is 650926782.

28762905600 is a `hidden beast` number, since 2 + 87 + 6 + 2 + 9 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×28762905600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 296524752 + ... + 296524848.

Almost surely, 2^28762905600 is an apocalyptic number.

28762905600 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 28762905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63207740904).

28762905600 is an abundant number, since it is smaller than the sum of its proper divisors (97652576208).

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

28762905600 is a wasteful number, since it uses less digits than its factorization.

28762905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28762905600 in words is "twenty-eight billion, seven hundred sixty-two million, nine hundred five thousand, six hundred".