52505628 has 48 divisors (see below), whose sum is σ = 142324224. Its totient is φ = 14754240.

The previous prime is 52505603. The next prime is 52505633. The reversal of 52505628 is 82650525.

52505628 is a nontrivial binomial coefficient, being equal to C(10248, 2).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 10247.

It is an arithmetic number, because the mean of its divisors is an integer number (2965088).

Almost surely, 2^52505628 is an apocalyptic number.

52505628 is the 10247-th triangular number and also the 5124-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52505628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71162112).

52505628 is an abundant number, since it is smaller than the sum of its proper divisors (89818596).

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

52505628 is a wasteful number, since it uses less digits than its factorization.

52505628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10322 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 52505628 is about 7246.0767315838. The cubic root of 52505628 is about 374.4569990015.

It can be divided in two parts, 5250 and 5628, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 52505628 in words is "fifty-two million, five hundred five thousand, six hundred twenty-eight".