128016400 has 30 divisors (see below), whose sum is σ = 307560362. Its totient is φ = 51206400.

The previous prime is 128016397. The next prime is 128016401. The reversal of 128016400 is 4610821.

It can be written as a sum of positive squares in 3 ways, for example, as 1048576 + 126967824 = 1024^2 + 11268^2 .

It is not an unprimeable number, because it can be changed into a prime (128016401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159621 + ... + 160420.

Almost surely, 2^128016400 is an apocalyptic number.

128016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128016400 is an abundant number, since it is smaller than the sum of its proper divisors (179543962).

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

128016400 is a wasteful number, since it uses less digits than its factorization.

128016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320059 (or 320048 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 128016400 is about 11314.4332602212. The cubic root of 128016400 is about 503.9899426900.

It can be divided in two parts, 12801 and 6400, that multiplied together give a triangular number (81926400 = T₁₂₈₀₀).

The spelling of 128016400 in words is "one hundred twenty-eight million, sixteen thousand, four hundred".