54462528 has 84 divisors (see below), whose sum is σ = 162933888. Its totient is φ = 17360640.

The previous prime is 54462523. The next prime is 54462581. The reversal of 54462528 is 82526445.

It is a happy number.

54462528 is a `hidden beast` number, since 5 + 4 + 4 + 625 + 28 = 666.

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 = 54462492 and 54462501.

It is not an unprimeable number, because it can be changed into a prime (54462523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11193 + ... + 15303.

Almost surely, 2^54462528 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 54462528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81466944).

54462528 is an abundant number, since it is smaller than the sum of its proper divisors (108471360).

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

54462528 is a wasteful number, since it uses less digits than its factorization.

54462528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4139 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 54462528 is about 7379.8731696419. The cubic root of 54462528 is about 379.0524127893.

The spelling of 54462528 in words is "fifty-four million, four hundred sixty-two thousand, five hundred twenty-eight".