28633488998400 has 2160 divisors, whose sum is σ = 124721650740960. Its totient is φ = 6183242956800.

The previous prime is 28633488998353. The next prime is 28633488998431. The reversal of 28633488998400 is 489988433682.

28633488998400 is a `hidden beast` number, since 2 + 8 + 63 + 3 + 488 + 9 + 9 + 84 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15287499864 + ... + 15287501736.

Almost surely, 2^{28633488998400} is an apocalyptic number.

28633488998400 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 28633488998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62360825370480).

28633488998400 is an abundant number, since it is smaller than the sum of its proper divisors (96088161742560).

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

28633488998400 is a wasteful number, since it uses less digits than its factorization.

28633488998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 28633488998400 in words is "twenty-eight trillion, six hundred thirty-three billion, four hundred eighty-eight million, nine hundred ninety-eight thousand, four hundred".