52193128 has 64 divisors (see below), whose sum is σ = 113898960. Its totient is φ = 22204416.

The previous prime is 52193117. The next prime is 52193131. The reversal of 52193128 is 82139125.

52193128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17123044 + 35070084 = 4138^2 + 5922^2 .

It is a super-2 number, since 2×52193128² = 5448245220848768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52193128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93426 + ... + 93982.

Almost surely, 2^52193128 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 52193128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56949480).

52193128 is an abundant number, since it is smaller than the sum of its proper divisors (61705832).

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

52193128 is a wasteful number, since it uses less digits than its factorization.

52193128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 52193128 is about 7224.4811578410. The cubic root of 52193128 is about 373.7126296793.

The spelling of 52193128 in words is "fifty-two million, one hundred ninety-three thousand, one hundred twenty-eight".