53628792 has 128 divisors (see below), whose sum is σ = 164851200. Its totient is φ = 14197248.

The previous prime is 53628781. The next prime is 53628797. The reversal of 53628792 is 29782635.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (181440) is a multiple of the sum of its prime factors (405).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53628797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169018 + ... + 169334.

It is an arithmetic number, because the mean of its divisors is an integer number (1287900).

Almost surely, 2^53628792 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 53628792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82425600).

53628792 is an abundant number, since it is smaller than the sum of its proper divisors (111222408).

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

53628792 is a wasteful number, since it uses less digits than its factorization.

53628792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 53628792 is about 7323.1681668524. The cubic root of 53628792 is about 377.1082250437.

The spelling of 53628792 in words is "fifty-three million, six hundred twenty-eight thousand, seven hundred ninety-two".