128048528000 has 64 divisors (see below), whose sum is σ = 318360692520. Its totient is φ = 51219404800.

The previous prime is 128048527993. The next prime is 128048528053. The reversal of 128048528000 is 825840821.

It can be written as a sum of positive squares in 4 ways, for example, as 51000092224 + 77048435776 = 225832^2 + 277576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3985517 + ... + 4017516.

Almost surely, 2^128048528000 is an apocalyptic number.

128048528000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128048528000 is an abundant number, since it is smaller than the sum of its proper divisors (190312164520).

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

128048528000 is an frugal number, since it uses more digits than its factorization.

128048528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8003062 (or 8003040 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The spelling of 128048528000 in words is "one hundred twenty-eight billion, forty-eight million, five hundred twenty-eight thousand".