45783528 has 128 divisors (see below), whose sum is σ = 138240000. Its totient is φ = 12360960.

The previous prime is 45783523. The next prime is 45783571. The reversal of 45783528 is 82538754.

It is a super-2 number, since 2×45783528² = 4192262872253568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 45783528.

It is not an unprimeable number, because it can be changed into a prime (45783523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307198 + ... + 307346.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 2^45783528 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 45783528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120000).

45783528 is an abundant number, since it is smaller than the sum of its proper divisors (92456472).

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

45783528 is a wasteful number, since it uses less digits than its factorization.

45783528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 45783528 is about 6766.3526363913. The cubic root of 45783528 is about 357.7418527455.

The spelling of 45783528 in words is "forty-five million, seven hundred eighty-three thousand, five hundred twenty-eight".