128976800 has 36 divisors (see below), whose sum is σ = 314866566. Its totient is φ = 51590400.

The previous prime is 128976797. The next prime is 128976803. The reversal of 128976800 is 8679821.

It is an interprime number because it is at equal distance from previous prime (128976797) and next prime (128976803).

It can be written as a sum of positive squares in 3 ways, for example, as 106584976 + 22391824 = 10324^2 + 4732^2 .

It is not an unprimeable number, because it can be changed into a prime (128976803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79811 + ... + 81410.

Almost surely, 2^128976800 is an apocalyptic number.

128976800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128976800 is an abundant number, since it is smaller than the sum of its proper divisors (185889766).

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

128976800 is a wasteful number, since it uses less digits than its factorization.

128976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161241 (or 161228 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 128976800 is about 11356.7953226251. The cubic root of 128976800 is about 505.2471423713.

The spelling of 128976800 in words is "one hundred twenty-eight million, nine hundred seventy-six thousand, eight hundred".