45804528 has 320 divisors, whose sum is σ = 175703040. Its totient is φ = 11197440.

The previous prime is 45804527. The next prime is 45804529. The reversal of 45804528 is 82540854.

It is an interprime number because it is at equal distance from previous prime (45804527) and next prime (45804529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45804492 and 45804501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45804527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2694376 + ... + 2694392.

It is an arithmetic number, because the mean of its divisors is an integer number (549072).

Almost surely, 2^45804528 is an apocalyptic number.

45804528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45804528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87851520).

45804528 is an abundant number, since it is smaller than the sum of its proper divisors (129898512).

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

45804528 is a wasteful number, since it uses less digits than its factorization.

45804528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 45804528 is about 6767.9042546419. The cubic root of 45804528 is about 357.7965407589.

The spelling of 45804528 in words is "forty-five million, eight hundred four thousand, five hundred twenty-eight".