45920628 has 48 divisors (see below), whose sum is σ = 128215360. Its totient is φ = 14128992.

The previous prime is 45920591. The next prime is 45920629. The reversal of 45920628 is 82602954.

It is a happy number.

45920628 is a `hidden beast` number, since 4 + 5 + 9 + 20 + 628 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 45920592 and 45920601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45920629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14950 + ... + 17757.

Almost surely, 2^45920628 is an apocalyptic number.

It is an amenable number.

45920628 is an abundant number, since it is smaller than the sum of its proper divisors (82294732).

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

45920628 is a wasteful number, since it uses less digits than its factorization.

45920628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32733 (or 32725 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45920628 is about 6776.4760753654. The cubic root of 45920628 is about 358.0985860840.

The spelling of 45920628 in words is "forty-five million, nine hundred twenty thousand, six hundred twenty-eight".