55628352 has 336 divisors, whose sum is σ = 199704960. Its totient is φ = 14598144.

The previous prime is 55628347. The next prime is 55628381. The reversal of 55628352 is 25382655.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (72000) is a multiple of the sum of its prime factors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418613 + ... + 2418635.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^55628352 is an apocalyptic number.

55628352 is a gapful number since it is divisible by the number (52) 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 55628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

55628352 is an abundant number, since it is smaller than the sum of its proper divisors (144076608).

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

55628352 is a wasteful number, since it uses less digits than its factorization.

55628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

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

The square root of 55628352 is about 7458.4416602934. The cubic root of 55628352 is about 381.7380036964.

The spelling of 55628352 in words is "fifty-five million, six hundred twenty-eight thousand, three hundred fifty-two".