28588751452800 has 7680 divisors, whose sum is σ = 148094521344000. Its totient is φ = 5364817920000.

The previous prime is 28588751452747. The next prime is 28588751452817. The reversal of 28588751452800 is 825415788582.

28588751452800 is a `hidden beast` number, since 2 + 8 + 58 + 8 + 7 + 51 + 4 + 528 + 0 + 0 = 666.

It is a super-2 number, since 2×28588751452800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 697286620780 + ... + 697286620820.

It is an arithmetic number, because the mean of its divisors is an integer number (19283140800).

Almost surely, 2^{28588751452800} is an apocalyptic number.

28588751452800 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 28588751452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74047260672000).

28588751452800 is an abundant number, since it is smaller than the sum of its proper divisors (119505769891200).

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

28588751452800 is a wasteful number, since it uses less digits than its factorization.

28588751452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 57344000, while the sum is 63.

The spelling of 28588751452800 in words is "twenty-eight trillion, five hundred eighty-eight billion, seven hundred fifty-one million, four hundred fifty-two thousand, eight hundred".