28659225600 has 792 divisors, whose sum is σ = 113089511808. Its totient is φ = 7166361600.

The previous prime is 28659225577. The next prime is 28659225629. The reversal of 28659225600 is 652295682.

28659225600 is a `hidden beast` number, since 2 + 8 + 6 + 592 + 2 + 56 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 105753465 + ... + 105753735.

Almost surely, 2^28659225600 is an apocalyptic number.

28659225600 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 28659225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56544755904).

28659225600 is an abundant number, since it is smaller than the sum of its proper divisors (84430286208).

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

28659225600 is a wasteful number, since it uses less digits than its factorization.

28659225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 28659225600 in words is "twenty-eight billion, six hundred fifty-nine million, two hundred twenty-five thousand, six hundred".