380928000 has 256 divisors, whose sum is σ = 1308602880. Its totient is φ = 98304000.

The previous prime is 380927983. The next prime is 380928049. The reversal of 380928000 is 829083.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×380928000² = 290212282368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12287985 + ... + 12288015.

It is an arithmetic number, because the mean of its divisors is an integer number (5111730).

Almost surely, 2^380928000 is an apocalyptic number.

380928000 is a gapful number since it is divisible by the number (30) 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 380928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654301440).

380928000 is an abundant number, since it is smaller than the sum of its proper divisors (927674880).

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

380928000 is an frugal number, since it uses more digits than its factorization.

380928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 380928000 is about 19517.3768729304. The cubic root of 380928000 is about 724.9047833734.

The spelling of 380928000 in words is "three hundred eighty million, nine hundred twenty-eight thousand".