28588132761600 has 768 divisors, whose sum is σ = 102200752483200. Its totient is φ = 7026644090880.

The previous prime is 28588132761571. The next prime is 28588132761607. The reversal of 28588132761600 is 616723188582.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28588132761607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1727684527 + ... + 1727701073.

Almost surely, 2^{28588132761600} is an apocalyptic number.

28588132761600 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 28588132761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51100376241600).

28588132761600 is an abundant number, since it is smaller than the sum of its proper divisors (73612619721600).

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

28588132761600 is a wasteful number, since it uses less digits than its factorization.

28588132761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16646 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 28588132761600 in words is "twenty-eight trillion, five hundred eighty-eight billion, one hundred thirty-two million, seven hundred sixty-one thousand, six hundred".