128732792832 has 384 divisors, whose sum is σ = 441174988800. Its totient is φ = 36328587264.

The previous prime is 128732792821. The next prime is 128732792843. The reversal of 128732792832 is 238297237821.

128732792832 is a `hidden beast` number, since 1 + 28 + 73 + 279 + 283 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (128732792821) and next prime (128732792843).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32124973 + ... + 32128979.

It is an arithmetic number, because the mean of its divisors is an integer number (1148893200).

Almost surely, 2^128732792832 is an apocalyptic number.

128732792832 is a gapful number since it is divisible by the number (12) 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 128732792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220587494400).

128732792832 is an abundant number, since it is smaller than the sum of its proper divisors (312442195968).

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

128732792832 is an equidigital number, since it uses as much as digits as its factorization.

128732792832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4102 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 128732792832 in words is "one hundred twenty-eight billion, seven hundred thirty-two million, seven hundred ninety-two thousand, eight hundred thirty-two".