45252928 has 56 divisors (see below), whose sum is σ = 103948992. Its totient is φ = 19144704.

The previous prime is 45252913. The next prime is 45252931. The reversal of 45252928 is 82925254.

It is a tau number, because it is divible by the number of its divisors (56).

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, 36576 + ... + 37792.

It is an arithmetic number, because the mean of its divisors is an integer number (1856232).

Almost surely, 2^45252928 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 45252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51974496).

45252928 is an abundant number, since it is smaller than the sum of its proper divisors (58696064).

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

45252928 is a wasteful number, since it uses less digits than its factorization.

45252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1309 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 45252928 is about 6727.0296565423. The cubic root of 45252928 is about 356.3544842601.

The spelling of 45252928 in words is "forty-five million, two hundred fifty-two thousand, nine hundred twenty-eight".