45617628 has 48 divisors (see below), whose sum is σ = 124140800. Its totient is φ = 13032432.

The previous prime is 45617623. The next prime is 45617653. The reversal of 45617628 is 82671654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45617623) 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, 1426 + ... + 9657.

Almost surely, 2^45617628 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 45617628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62070400).

45617628 is an abundant number, since it is smaller than the sum of its proper divisors (78523172).

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

45617628 is a wasteful number, since it uses less digits than its factorization.

45617628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111 (or 11095 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 45617628 is about 6754.0823210855. The cubic root of 45617628 is about 357.3092284209.

The spelling of 45617628 in words is "forty-five million, six hundred seventeen thousand, six hundred twenty-eight".