45792828 has 72 divisors (see below), whose sum is σ = 122828160. Its totient is φ = 14359680.

The previous prime is 45792821. The next prime is 45792829. The reversal of 45792828 is 82829754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45792821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40738 + ... + 41846.

Almost surely, 2^45792828 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 45792828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61414080).

45792828 is an abundant number, since it is smaller than the sum of its proper divisors (77035332).

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

45792828 is a wasteful number, since it uses less digits than its factorization.

45792828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1182 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 45792828 is about 6767.0398255072. The cubic root of 45792828 is about 357.7660737855.

The spelling of 45792828 in words is "forty-five million, seven hundred ninety-two thousand, eight hundred twenty-eight".