52728032 has 48 divisors (see below), whose sum is σ = 122744160. Its totient is φ = 21815808.

The previous prime is 52728017. The next prime is 52728047. The reversal of 52728032 is 23082725.

It is an interprime number because it is at equal distance from previous prime (52728017) and next prime (52728047).

It is a super-3 number, since 3×52728032³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 52727986 and 52728004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2438 + ... + 10554.

It is an arithmetic number, because the mean of its divisors is an integer number (2557170).

Almost surely, 2^52728032 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 52728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61372080).

52728032 is an abundant number, since it is smaller than the sum of its proper divisors (70016128).

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

52728032 is a wasteful number, since it uses less digits than its factorization.

52728032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163 (or 8155 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 52728032 is about 7261.4070261899. The cubic root of 52728032 is about 374.9849641379.

The spelling of 52728032 in words is "fifty-two million, seven hundred twenty-eight thousand, thirty-two".