45617328 has 60 divisors (see below), whose sum is σ = 134392440. Its totient is φ = 14404608.

The previous prime is 45617323. The next prime is 45617339. The reversal of 45617328 is 82371654.

45617328 is a `hidden beast` number, since 4 + 5 + 617 + 32 + 8 = 666.

It is a super-2 number, since 2×45617328² = 4161881227719168, which contains 22 as substring.

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 = 45617292 and 45617301.

It is not an unprimeable number, because it can be changed into a prime (45617321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5601 + ... + 11072.

It is an arithmetic number, because the mean of its divisors is an integer number (2239874).

Almost surely, 2^45617328 is an apocalyptic number.

45617328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45617328 is an abundant number, since it is smaller than the sum of its proper divisors (88775112).

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

45617328 is a wasteful number, since it uses less digits than its factorization.

45617328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16706 (or 16697 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 45617328 is about 6754.0601122584. The cubic root of 45617328 is about 357.3084451491.

The spelling of 45617328 in words is "forty-five million, six hundred seventeen thousand, three hundred twenty-eight".