52734528 has 336 divisors, whose sum is σ = 199704960. Its totient is φ = 12902400.

The previous prime is 52734511. The next prime is 52734529. The reversal of 52734528 is 82543725.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 52734492 and 52734501.

It is not an unprimeable number, because it can be changed into a prime (52734529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1286188 + ... + 1286228.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^52734528 is an apocalyptic number.

52734528 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52734528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

52734528 is an abundant number, since it is smaller than the sum of its proper divisors (146970432).

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

52734528 is a wasteful number, since it uses less digits than its factorization.

52734528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 52734528 is about 7261.8543086460. The cubic root of 52734528 is about 375.0003626663. Note that the first 3 decimals are identical.

It can be divided in two parts, 5273 and 4528, that added together give a square (9801 = 99²).

The spelling of 52734528 in words is "fifty-two million, seven hundred thirty-four thousand, five hundred twenty-eight".