56951128 has 64 divisors (see below), whose sum is σ = 124286400. Its totient is φ = 24245760.

The previous prime is 56951093. The next prime is 56951129. The reversal of 56951128 is 82115965.

56951128 is a nontrivial binomial coefficient, being equal to C(10673, 2).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56951129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68958 + ... + 69778.

It is an arithmetic number, because the mean of its divisors is an integer number (1941975).

Almost surely, 2^56951128 is an apocalyptic number.

56951128 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

56951128 is the 10672-nd triangular number.

56951128 is the 3558-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56951128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62143200).

56951128 is an abundant number, since it is smaller than the sum of its proper divisors (67335272).

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

56951128 is a wasteful number, since it uses less digits than its factorization.

56951128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its digits is 21600, while the sum is 37.

The square root of 56951128 is about 7546.5971139316. The cubic root of 56951128 is about 384.7400910648.

The spelling of 56951128 in words is "fifty-six million, nine hundred fifty-one thousand, one hundred twenty-eight".