28827916588800 has 1512 divisors, whose sum is σ = 125252401979040. Its totient is φ = 6428226355200.

The previous prime is 28827916588777. The next prime is 28827916588819. The reversal of 28827916588800 is 888561972882.

28827916588800 is a `hidden beast` number, since 2 + 8 + 8 + 27 + 9 + 16 + 588 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1339016436 + ... + 1339037964.

Almost surely, 2^{28827916588800} is an apocalyptic number.

28827916588800 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 28827916588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62626200989520).

28827916588800 is an abundant number, since it is smaller than the sum of its proper divisors (96424485390240).

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

28827916588800 is an equidigital number, since it uses as much as digits as its factorization.

28827916588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21621 (or 21587 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 28827916588800 in words is "twenty-eight trillion, eight hundred twenty-seven billion, nine hundred sixteen million, five hundred eighty-eight thousand, eight hundred".