53552628 has 36 divisors (see below), whose sum is σ = 135592548. Its totient is φ = 17821440.

The previous prime is 53552617. The next prime is 53552641. The reversal of 53552628 is 82625535.

It is a happy number.

53552628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34786404 + 18766224 = 5898^2 + 4332^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 53552592 and 53552601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38668 + ... + 40028.

Almost surely, 2^53552628 is an apocalyptic number.

It is an amenable number.

53552628 is an abundant number, since it is smaller than the sum of its proper divisors (82039920).

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

53552628 is a wasteful number, since it uses less digits than its factorization.

53552628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2459 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 53552628 is about 7317.9661108808. The cubic root of 53552628 is about 376.9296165164.

The spelling of 53552628 in words is "fifty-three million, five hundred fifty-two thousand, six hundred twenty-eight".