362628 has 36 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 103536.

The previous prime is 362599. The next prime is 362629. The reversal of 362628 is 826263.

362628 is a `hidden beast` number, since 36 + 2 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362628.

It is not an unprimeable number, because it can be changed into a prime (362629) by changing a digit.

362628 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 11 ways as a sum of consecutive naturals, for example, 468 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (29120).

2³⁶²⁶²⁸ is an apocalyptic number.

It is an amenable number.

362628 is an abundant number, since it is smaller than the sum of its proper divisors (685692).

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

362628 is a wasteful number, since it uses less digits than its factorization.

362628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1451 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 362628 is about 602.1860177719. The cubic root of 362628 is about 71.3105487154.

It can be divided in two parts, 362 and 628, that added together give a triangular number (990 = T₄₄).

The spelling of 362628 in words is "three hundred sixty-two thousand, six hundred twenty-eight".