54528960 has 112 divisors (see below), whose sum is σ = 175564800. Its totient is φ = 14337024.

The previous prime is 54528953. The next prime is 54528967. The reversal of 54528960 is 6982545.

It is an interprime number because it is at equal distance from previous prime (54528953) and next prime (54528967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54528967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75481 + ... + 76199.

Almost surely, 2^54528960 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 54528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87782400).

54528960 is an abundant number, since it is smaller than the sum of its proper divisors (121035840).

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

54528960 is a wasteful number, since it uses less digits than its factorization.

54528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 54528960 is about 7384.3726883196. The cubic root of 54528960 is about 379.2064696505.

The spelling of 54528960 in words is "fifty-four million, five hundred twenty-eight thousand, nine hundred sixty".