53688528 has 160 divisors (see below), whose sum is σ = 168243200. Its totient is φ = 16329600.

The previous prime is 53688491. The next prime is 53688539. The reversal of 53688528 is 82588635.

It is a happy number.

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, 254343 + ... + 254553.

It is an arithmetic number, because the mean of its divisors is an integer number (1051520).

Almost surely, 2^53688528 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 53688528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84121600).

53688528 is an abundant number, since it is smaller than the sum of its proper divisors (114554672).

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

53688528 is a wasteful number, since it uses less digits than its factorization.

53688528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 53688528 is about 7327.2455943554. The cubic root of 53688528 is about 377.2481907671.

The spelling of 53688528 in words is "fifty-three million, six hundred eighty-eight thousand, five hundred twenty-eight".