118928000 has 64 divisors (see below), whose sum is σ = 295724520. Its totient is φ = 47564800.

The previous prime is 118927999. The next prime is 118928021. The reversal of 118928000 is 829811.

It can be written as a sum of positive squares in 4 ways, for example, as 10601536 + 108326464 = 3256^2 + 10408^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12284 + ... + 19716.

Almost surely, 2^118928000 is an apocalyptic number.

118928000 is a gapful number since it is divisible by the number (10) 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 118928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147862260).

118928000 is an abundant number, since it is smaller than the sum of its proper divisors (176796520).

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

118928000 is an frugal number, since it uses more digits than its factorization.

118928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462 (or 7440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 118928000 is about 10905.4115007183. The cubic root of 118928000 is about 491.7692530680.

The spelling of 118928000 in words is "one hundred eighteen million, nine hundred twenty-eight thousand".