368928 has 96 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 103680.

The previous prime is 368911. The next prime is 368939. The reversal of 368928 is 829863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×368928² = 272215738368, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 368892 and 368901.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368928.

It is an unprimeable number.

368928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6018 + ... + 6078.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2³⁶⁸⁹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

368928 is an abundant number, since it is smaller than the sum of its proper divisors (880992).

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

368928 is a wasteful number, since it uses less digits than its factorization.

368928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

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

The square root of 368928 is about 607.3944352725. The cubic root of 368928 is about 71.7211436042.

It can be divided in two parts, 368 and 928, that added together give a 4-th power (1296 = 6⁴).

The spelling of 368928 in words is "three hundred sixty-eight thousand, nine hundred twenty-eight".