53628064 has 48 divisors (see below), whose sum is σ = 127770048. Its totient is φ = 21629952.

The previous prime is 53628061. The next prime is 53628101. The reversal of 53628064 is 46082635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (53628061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3234 + ... + 10849.

It is an arithmetic number, because the mean of its divisors is an integer number (2661876).

Almost surely, 2^53628064 is an apocalyptic number.

It is an amenable number.

53628064 is an abundant number, since it is smaller than the sum of its proper divisors (74141984).

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

53628064 is a wasteful number, since it uses less digits than its factorization.

53628064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14117 (or 14109 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 53628064 is about 7323.1184614207. The cubic root of 53628064 is about 377.1065186467.

The spelling of 53628064 in words is "fifty-three million, six hundred twenty-eight thousand, sixty-four".