28755417600 has 1080 divisors, whose sum is σ = 127955104992. Its totient is φ = 6038323200.

The previous prime is 28755417599. The next prime is 28755417617. The reversal of 28755417600 is 671455782.

28755417600 is a `hidden beast` number, since 2 + 87 + 554 + 17 + 6 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 136281495 + ... + 136281705.

Almost surely, 2^28755417600 is an apocalyptic number.

28755417600 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 28755417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63977552496).

28755417600 is an abundant number, since it is smaller than the sum of its proper divisors (99199687392).

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

28755417600 is a wasteful number, since it uses less digits than its factorization.

28755417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 28755417600 in words is "twenty-eight billion, seven hundred fifty-five million, four hundred seventeen thousand, six hundred".