28875576600 has 720 divisors, whose sum is σ = 111202146000. Its totient is φ = 6938680320.

The previous prime is 28875576581. The next prime is 28875576641. The reversal of 28875576600 is 667557882.

28875576600 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 5 + 576 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 145103301 + ... + 145103499.

It is an arithmetic number, because the mean of its divisors is an integer number (154447425).

Almost surely, 2^28875576600 is an apocalyptic number.

28875576600 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 28875576600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55601073000).

28875576600 is an abundant number, since it is smaller than the sum of its proper divisors (82326569400).

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

28875576600 is a wasteful number, since it uses less digits than its factorization.

28875576600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 28875576600 in words is "twenty-eight billion, eight hundred seventy-five million, five hundred seventy-six thousand, six hundred".