45428100 has 72 divisors (see below), whose sum is σ = 132387360. Its totient is φ = 12026880.

The previous prime is 45428099. The next prime is 45428111. The reversal of 45428100 is 182454.

It is a super-2 number, since 2×45428100² = 4127424539220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48436 + ... + 49364.

Almost surely, 2^45428100 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 45428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66193680).

45428100 is an abundant number, since it is smaller than the sum of its proper divisors (86959260).

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

45428100 is a wasteful number, since it uses less digits than its factorization.

45428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 45428100 is about 6740.0370918861. The cubic root of 45428100 is about 356.8137028293.

The spelling of 45428100 in words is "forty-five million, four hundred twenty-eight thousand, one hundred".