55256328 has 48 divisors (see below), whose sum is σ = 151717020. Its totient is φ = 18164736.

The previous prime is 55256317. The next prime is 55256329. The reversal of 55256328 is 82365255.

It is a happy number.

55256328 is a nontrivial binomial coefficient, being equal to C(10513, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 48692484 + 6563844 = 6978^2 + 2562^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 55256292 and 55256301.

It is not an unprimeable number, because it can be changed into a prime (55256329) 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, 1 + ... + 10512.

Almost surely, 2^55256328 is an apocalyptic number.

55256328 is the 10512-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55256328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75858510).

55256328 is an abundant number, since it is smaller than the sum of its proper divisors (96460692).

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

55256328 is a wasteful number, since it uses less digits than its factorization.

55256328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10598 (or 10591 counting only the distinct ones).

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

The square root of 55256328 is about 7433.4600288157. The cubic root of 55256328 is about 380.8851204685.

The spelling of 55256328 in words is "fifty-five million, two hundred fifty-six thousand, three hundred twenty-eight".