52768512 has 108 divisors (see below), whose sum is σ = 156509080. Its totient is φ = 17086464.

The previous prime is 52768511. The next prime is 52768519. The reversal of 52768512 is 21586725.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52768511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84939 + ... + 85557.

Almost surely, 2^52768512 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 52768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78254540).

52768512 is an abundant number, since it is smaller than the sum of its proper divisors (103740568).

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

52768512 is a wasteful number, since it uses less digits than its factorization.

52768512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 661 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 52768512 is about 7264.1938300131. The cubic root of 52768512 is about 375.0808998793.

The spelling of 52768512 in words is "fifty-two million, seven hundred sixty-eight thousand, five hundred twelve".