52788384 has 144 divisors (see below), whose sum is σ = 172579680. Its totient is φ = 15137280.

The previous prime is 52788367. The next prime is 52788397. The reversal of 52788384 is 48388725.

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

It is a super-2 number, since 2×52788384² = 5573226970662912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59754 + ... + 60630.

It is an arithmetic number, because the mean of its divisors is an integer number (1198470).

Almost surely, 2^52788384 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 52788384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86289840).

52788384 is an abundant number, since it is smaller than the sum of its proper divisors (119791296).

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

52788384 is a wasteful number, since it uses less digits than its factorization.

52788384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 912 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 52788384 is about 7265.5615061742. The cubic root of 52788384 is about 375.1279776530.

The spelling of 52788384 in words is "fifty-two million, seven hundred eighty-eight thousand, three hundred eighty-four".