53629128 has 144 divisors (see below), whose sum is σ = 175528080. Its totient is φ = 15295392.

The previous prime is 53629117. The next prime is 53629129. The reversal of 53629128 is 82192635.

53629128 is a `hidden beast` number, since 5 + 3 + 629 + 1 + 28 = 666.

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 = 53629092 and 53629101.

It is not an unprimeable number, because it can be changed into a prime (53629129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94975 + ... + 95537.

It is an arithmetic number, because the mean of its divisors is an integer number (1218945).

Almost surely, 2^53629128 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 53629128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87764040).

53629128 is an abundant number, since it is smaller than the sum of its proper divisors (121898952).

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

53629128 is a wasteful number, since it uses less digits than its factorization.

53629128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 575 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 53629128 is about 7323.1911077071. The cubic root of 53629128 is about 377.1090126064.

The spelling of 53629128 in words is "fifty-three million, six hundred twenty-nine thousand, one hundred twenty-eight".