55971328 has 120 divisors (see below), whose sum is σ = 137147472. Its totient is φ = 22708224.

The previous prime is 55971287. The next prime is 55971329. The reversal of 55971328 is 82317955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55971329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576976 + ... + 577072.

Almost surely, 2^55971328 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 55971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68573736).

55971328 is an abundant number, since it is smaller than the sum of its proper divisors (81176144).

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

55971328 is an equidigital number, since it uses as much as digits as its factorization.

55971328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 55971328 is about 7481.3987996898. The cubic root of 55971328 is about 382.5209306900.

The spelling of 55971328 in words is "fifty-five million, nine hundred seventy-one thousand, three hundred twenty-eight".