45919328 has 72 divisors (see below), whose sum is σ = 111969648. Its totient is φ = 18150912.

The previous prime is 45919231. The next prime is 45919337. The reversal of 45919328 is 82391954.

It is a congruent number.

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, 37250 + ... + 38462.

It is an arithmetic number, because the mean of its divisors is an integer number (1555134).

Almost surely, 2^45919328 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 45919328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55984824).

45919328 is an abundant number, since it is smaller than the sum of its proper divisors (66050320).

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

45919328 is a wasteful number, since it uses less digits than its factorization.

45919328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1235 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 45919328 is about 6776.3801546253. The cubic root of 45919328 is about 358.0952068288.

The spelling of 45919328 in words is "forty-five million, nine hundred nineteen thousand, three hundred twenty-eight".