54381528 has 48 divisors (see below), whose sum is σ = 148733520. Its totient is φ = 17948736.

The previous prime is 54381511. The next prime is 54381557. The reversal of 54381528 is 82518345.

It is a happy number.

54381528 is a `hidden beast` number, since 54 + 3 + 81 + 528 = 666.

It is a super-2 number, since 2×54381528² = 5914701175229568, which contains 22 as substring.

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 = 54381492 and 54381501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3750 + ... + 11082.

It is an arithmetic number, because the mean of its divisors is an integer number (3098615).

Almost surely, 2^54381528 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 54381528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74366760).

54381528 is an abundant number, since it is smaller than the sum of its proper divisors (94351992).

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

54381528 is a wasteful number, since it uses less digits than its factorization.

54381528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7448 (or 7441 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 54381528 is about 7374.3832284470. The cubic root of 54381528 is about 378.8644029141.

The spelling of 54381528 in words is "fifty-four million, three hundred eighty-one thousand, five hundred twenty-eight".