28789592832 has 1440 divisors, whose sum is σ = 122989278720. Its totient is φ = 6449725440.

The previous prime is 28789592807. The next prime is 28789592857. The reversal of 28789592832 is 23829598782.

28789592832 is a `hidden beast` number, since 2 + 8 + 7 + 8 + 9 + 592 + 8 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (28789592807) and next prime (28789592857).

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

Its product of digits (34836480) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 28789592832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 394377948 + ... + 394378020.

Almost surely, 2^28789592832 is an apocalyptic number.

28789592832 is a gapful number since it is divisible by the number (22) 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 28789592832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61494639360).

28789592832 is an abundant number, since it is smaller than the sum of its proper divisors (94199685888).

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

28789592832 is a wasteful number, since it uses less digits than its factorization.

28789592832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 28789592832 in words is "twenty-eight billion, seven hundred eighty-nine million, five hundred ninety-two thousand, eight hundred thirty-two".