55952928 has 72 divisors (see below), whose sum is σ = 166053888. Its totient is φ = 17837952.

The previous prime is 55952903. The next prime is 55952957. The reversal of 55952928 is 82925955.

55952928 is a `hidden beast` number, since 559 + 5 + 2 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 2401 + ... + 10847.

It is an arithmetic number, because the mean of its divisors is an integer number (2306304).

Almost surely, 2^55952928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55952928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026944).

55952928 is an abundant number, since it is smaller than the sum of its proper divisors (110100960).

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

55952928 is a wasteful number, since it uses less digits than its factorization.

55952928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8486 (or 8475 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 55952928 is about 7480.1689820485. The cubic root of 55952928 is about 382.4790094851.

The spelling of 55952928 in words is "fifty-five million, nine hundred fifty-two thousand, nine hundred twenty-eight".