53763328 has 54 divisors (see below), whose sum is σ = 112468034. Its totient is φ = 25648128.

The previous prime is 53763319. The next prime is 53763329. The reversal of 53763328 is 82336735.

It can be written as a sum of positive squares in only one way, i.e., 48888064 + 4875264 = 6992^2 + 2208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53763329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135226 + ... + 135622.

Almost surely, 2^53763328 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 53763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56234017).

53763328 is an abundant number, since it is smaller than the sum of its proper divisors (58704706).

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

53763328 is an equidigital number, since it uses as much as digits as its factorization.

53763328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 422 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 53763328 is about 7332.3480550230. The cubic root of 53763328 is about 377.4233062039.

The spelling of 53763328 in words is "fifty-three million, seven hundred sixty-three thousand, three hundred twenty-eight".