52765128 has 256 divisors, whose sum is σ = 177408000. Its totient is φ = 14370048.

The previous prime is 52765121. The next prime is 52765129. The reversal of 52765128 is 82156725.

It is a happy number.

52765128 is a `hidden beast` number, since 527 + 6 + 5 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 52765092 and 52765101.

It is not an unprimeable number, because it can be changed into a prime (52765121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1227075 + ... + 1227117.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 2^52765128 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 52765128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704000).

52765128 is an abundant number, since it is smaller than the sum of its proper divisors (124642872).

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

52765128 is a wasteful number, since it uses less digits than its factorization.

52765128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

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

The square root of 52765128 is about 7263.9609029785. The cubic root of 52765128 is about 375.0728818344.

It can be divided in two parts, 5276 and 5128, that added together give a square (10404 = 102²).

The spelling of 52765128 in words is "fifty-two million, seven hundred sixty-five thousand, one hundred twenty-eight".