45628044 has 192 divisors, whose sum is σ = 147087360. Its totient is φ = 10644480.

The previous prime is 45628013. The next prime is 45628057. The reversal of 45628044 is 44082654.

It is a Harshad number since it is a multiple of its sum of digits (33).

45628044 is a modest number, since divided by 28044 gives 456 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 45627996 and 45628014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403732 + ... + 403844.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 2^45628044 is an apocalyptic number.

45628044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45628044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

45628044 is an abundant number, since it is smaller than the sum of its proper divisors (101459316).

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

45628044 is a wasteful number, since it uses less digits than its factorization.

45628044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 45628044 is about 6754.8533662841. The cubic root of 45628044 is about 357.3364214882.

The spelling of 45628044 in words is "forty-five million, six hundred twenty-eight thousand, forty-four".