368928000 has 576 divisors, whose sum is σ = 1581565440. Its totient is φ = 82944000.

The previous prime is 368927987. The next prime is 368928011. The reversal of 368928000 is 829863.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×368928000² = 272215738368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047970 + ... + 6048030.

Almost surely, 2^368928000 is an apocalyptic number.

368928000 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 368928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790782720).

368928000 is an abundant number, since it is smaller than the sum of its proper divisors (1212637440).

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

368928000 is an equidigital number, since it uses as much as digits as its factorization.

368928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 368928000 is about 19207.4985357282. The cubic root of 368928000 is about 717.2114360417.

The spelling of 368928000 in words is "three hundred sixty-eight million, nine hundred twenty-eight thousand".