55805728 has 96 divisors (see below), whose sum is σ = 128241792. Its totient is φ = 23654400.

The previous prime is 55805723. The next prime is 55805753. The reversal of 55805728 is 82750855.

It is a super-2 number, since 2×55805728² = 6228558555219968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55805723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 493800 + ... + 493912.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^55805728 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 55805728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896).

55805728 is an abundant number, since it is smaller than the sum of its proper divisors (72436064).

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

55805728 is a wasteful number, since it uses less digits than its factorization.

55805728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The square root of 55805728 is about 7470.3231523141. The cubic root of 55805728 is about 382.1433085288.

The spelling of 55805728 in words is "fifty-five million, eight hundred five thousand, seven hundred twenty-eight".