45492128 has 72 divisors (see below), whose sum is σ = 101888640. Its totient is φ = 19958400.

The previous prime is 45492107. The next prime is 45492133. The reversal of 45492128 is 82129454.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119843 + ... + 120221.

It is an arithmetic number, because the mean of its divisors is an integer number (1415120).

Almost surely, 2^45492128 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 45492128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50944320).

45492128 is an abundant number, since it is smaller than the sum of its proper divisors (56396512).

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

45492128 is a wasteful number, since it uses less digits than its factorization.

45492128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 423 counting only the distinct ones).

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

The square root of 45492128 is about 6744.7852449133. The cubic root of 45492128 is about 356.9812594943.

The spelling of 45492128 in words is "forty-five million, four hundred ninety-two thousand, one hundred twenty-eight".