28775646900 has 1296 divisors, whose sum is σ = 128586144960. Its totient is φ = 5519404800.

The previous prime is 28775646877. The next prime is 28775646941. The reversal of 28775646900 is 964657782.

28775646900 is a `hidden beast` number, since 2 + 8 + 77 + 564 + 6 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×28775646900² (a number of 22 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 2213511294 + ... + 2213511306.

Almost surely, 2^28775646900 is an apocalyptic number.

28775646900 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 28775646900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64293072480).

28775646900 is an abundant number, since it is smaller than the sum of its proper divisors (99810498060).

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

28775646900 is a wasteful number, since it uses less digits than its factorization.

28775646900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 28775646900 in words is "twenty-eight billion, seven hundred seventy-five million, six hundred forty-six thousand, nine hundred".