53628432 has 120 divisors (see below), whose sum is σ = 163927008. Its totient is φ = 14976000.

The previous prime is 53628413. The next prime is 53628559. The reversal of 53628432 is 23482635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 53628393 and 53628402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88932 + ... + 89532.

Almost surely, 2^53628432 is an apocalyptic number.

53628432 is a gapful number since it is divisible by the number (52) 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 53628432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81963504).

53628432 is an abundant number, since it is smaller than the sum of its proper divisors (110298576).

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

53628432 is a wasteful number, since it uses less digits than its factorization.

53628432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 630 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 53628432 is about 7323.1435872854. The cubic root of 53628432 is about 377.1073812229.

The spelling of 53628432 in words is "fifty-three million, six hundred twenty-eight thousand, four hundred thirty-two".