53987328 has 144 divisors (see below), whose sum is σ = 162899100. Its totient is φ = 17203200.

The previous prime is 53987293. The next prime is 53987333. The reversal of 53987328 is 82378935.

53987328 is a `hidden beast` number, since 539 + 87 + 32 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49112064 + 4875264 = 7008^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (362880) is a multiple of the sum of its prime divisors (135).

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, 534478 + ... + 534578.

Almost surely, 2^53987328 is an apocalyptic number.

53987328 is a gapful number since it is divisible by the number (58) 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 53987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81449550).

53987328 is an abundant number, since it is smaller than the sum of its proper divisors (108911772).

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

53987328 is a wasteful number, since it uses less digits than its factorization.

53987328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 53987328 is about 7347.6069573705. The cubic root of 53987328 is about 377.9467465081.

The spelling of 53987328 in words is "fifty-three million, nine hundred eighty-seven thousand, three hundred twenty-eight".