45124928 has 56 divisors (see below), whose sum is σ = 95051880. Its totient is φ = 21217280.

The previous prime is 45124909. The next prime is 45124951. The reversal of 45124928 is 82942154.

It can be written as a sum of positive squares in 4 ways, for example, as 1459264 + 43665664 = 1208^2 + 6608^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75800 + ... + 76392.

It is an arithmetic number, because the mean of its divisors is an integer number (1697355).

Almost surely, 2^45124928 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 45124928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47525940).

45124928 is an abundant number, since it is smaller than the sum of its proper divisors (49926952).

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

45124928 is a wasteful number, since it uses less digits than its factorization.

45124928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 45124928 is about 6717.5090621450. The cubic root of 45124928 is about 356.0181785945.

The spelling of 45124928 in words is "forty-five million, one hundred twenty-four thousand, nine hundred twenty-eight".