54582528 has 288 divisors, whose sum is σ = 197793792. Its totient is φ = 12902400.

The previous prime is 54582509. The next prime is 54582533. The reversal of 54582528 is 82528545.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768733 + ... + 768803.

It is an arithmetic number, because the mean of its divisors is an integer number (686784).

Almost surely, 2^54582528 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 54582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98896896).

54582528 is an abundant number, since it is smaller than the sum of its proper divisors (143211264).

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

54582528 is a wasteful number, since it uses less digits than its factorization.

54582528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its digits is 128000, while the sum is 39.

The square root of 54582528 is about 7387.9989171629. The cubic root of 54582528 is about 379.3306035909.

The spelling of 54582528 in words is "fifty-four million, five hundred eighty-two thousand, five hundred twenty-eight".