28881784800 has 216 divisors, whose sum is σ = 111103279560. Its totient is φ = 7001625600.

The previous prime is 28881784783. The next prime is 28881784807. The reversal of 28881784800 is 848718882.

28881784800 is a `hidden beast` number, since 2 + 88 + 81 + 7 + 8 + 480 + 0 = 666.

It is a super-2 number, since 2×28881784800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28881784807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103135 + ... + 261534.

It is an arithmetic number, because the mean of its divisors is an integer number (514367035).

Almost surely, 2^28881784800 is an apocalyptic number.

28881784800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28881784800 is an abundant number, since it is smaller than the sum of its proper divisors (82221494760).

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

28881784800 is a wasteful number, since it uses less digits than its factorization.

28881784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364706 (or 364690 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 28881784800 in words is "twenty-eight billion, eight hundred eighty-one million, seven hundred eighty-four thousand, eight hundred".