28892775600 has 480 divisors, whose sum is σ = 116586982400. Its totient is φ = 6737126400.

The previous prime is 28892775551. The next prime is 28892775607. The reversal of 28892775600 is 657729882.

It is a happy number.

28892775600 is a `hidden beast` number, since 2 + 8 + 8 + 9 + 2 + 77 + 560 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (28892775607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2662185 + ... + 2673015.

Almost surely, 2^28892775600 is an apocalyptic number.

28892775600 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 28892775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58293491200).

28892775600 is an abundant number, since it is smaller than the sum of its proper divisors (87694206800).

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

28892775600 is a wasteful number, since it uses less digits than its factorization.

28892775600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10890 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 28892775600 in words is "twenty-eight billion, eight hundred ninety-two million, seven hundred seventy-five thousand, six hundred".