28598169600 has 1872 divisors, whose sum is σ = 141968246784. Its totient is φ = 5308416000.

The previous prime is 28598169557. The next prime is 28598169619. The reversal of 28598169600 is 696189582.

It is a happy number.

28598169600 is a `hidden beast` number, since 28 + 5 + 9 + 8 + 1 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 922521585 + ... + 922521615.

Almost surely, 2^28598169600 is an apocalyptic number.

28598169600 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 28598169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70984123392).

28598169600 is an abundant number, since it is smaller than the sum of its proper divisors (113370077184).

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

28598169600 is a wasteful number, since it uses less digits than its factorization.

28598169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 28598169600 in words is "twenty-eight billion, five hundred ninety-eight million, one hundred sixty-nine thousand, six hundred".