52348032 has 256 divisors, whose sum is σ = 180662400. Its totient is φ = 14929920.

The previous prime is 52348031. The next prime is 52348033. The reversal of 52348032 is 23084325.

It is an interprime number because it is at equal distance from previous prime (52348031) and next prime (52348033).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 52347987 and 52348005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52348031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3079288 + ... + 3079304.

Almost surely, 2^52348032 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 52348032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90331200).

52348032 is an abundant number, since it is smaller than the sum of its proper divisors (128314368).

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

52348032 is an equidigital number, since it uses as much as digits as its factorization.

52348032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 52348032 is about 7235.1939849599. The cubic root of 52348032 is about 374.0819784645.

The spelling of 52348032 in words is "fifty-two million, three hundred forty-eight thousand, thirty-two".