55628900 has 18 divisors (see below), whose sum is σ = 120714930. Its totient is φ = 22251520.

The previous prime is 55628899. The next prime is 55628957. The reversal of 55628900 is 982655.

It can be written as a sum of positive squares in 3 ways, for example, as 602176 + 55026724 = 776^2 + 7418^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278045 + ... + 278244.

It is an arithmetic number, because the mean of its divisors is an integer number (6706385).

Almost surely, 2^55628900 is an apocalyptic number.

55628900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55628900 is an abundant number, since it is smaller than the sum of its proper divisors (65086030).

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

55628900 is a wasteful number, since it uses less digits than its factorization.

55628900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556303 (or 556296 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 55628900 is about 7458.4783970995. The cubic root of 55628900 is about 381.7392572043.

The spelling of 55628900 in words is "fifty-five million, six hundred twenty-eight thousand, nine hundred".