55928600 has 144 divisors (see below), whose sum is σ = 163270800. Its totient is φ = 17660160.

The previous prime is 55928599. The next prime is 55928659. The reversal of 55928600 is 682955.

55928600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 35 ways as a sum of consecutive naturals, for example, 127181 + ... + 127619.

It is an arithmetic number, because the mean of its divisors is an integer number (1133825).

Almost surely, 2^55928600 is an apocalyptic number.

55928600 is a gapful number since it is divisible by the number (50) 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 55928600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81635400).

55928600 is an abundant number, since it is smaller than the sum of its proper divisors (107342200).

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

55928600 is a wasteful number, since it uses less digits than its factorization.

55928600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

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

The square root of 55928600 is about 7478.5426387766. The cubic root of 55928600 is about 382.4235682503.

The spelling of 55928600 in words is "fifty-five million, nine hundred twenty-eight thousand, six hundred".