52623828 has 72 divisors (see below), whose sum is σ = 138004776. Its totient is φ = 16896000.

The previous prime is 52623803. The next prime is 52623829. The reversal of 52623828 is 82832625.

52623828 is a `hidden beast` number, since 5 + 2 + 623 + 8 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 46212804 = 2532^2 + 6798^2 .

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 = 52623792 and 52623801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52623829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148900 + ... + 149252.

It is an arithmetic number, because the mean of its divisors is an integer number (1916733).

Almost surely, 2^52623828 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 52623828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69002388).

52623828 is an abundant number, since it is smaller than the sum of its proper divisors (85380948).

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

52623828 is a wasteful number, since it uses less digits than its factorization.

52623828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 500 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 52623828 is about 7254.2282842491. The cubic root of 52623828 is about 374.7377793503.

The spelling of 52623828 in words is "fifty-two million, six hundred twenty-three thousand, eight hundred twenty-eight".