956380128 has 144 divisors (see below), whose sum is σ = 2778744528. Its totient is φ = 287795200.

The previous prime is 956380127. The next prime is 956380151. The reversal of 956380128 is 821083659.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 956380128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956380121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3263950 + ... + 3264242.

It is an arithmetic number, because the mean of its divisors is an integer number (19296837).

Almost surely, 2^956380128 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 956380128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389372264).

956380128 is an abundant number, since it is smaller than the sum of its proper divisors (1822364400).

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

956380128 is a wasteful number, since it uses less digits than its factorization.

956380128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 956380128 is about 30925.3961656112. The cubic root of 956380128 is about 985.2433552304.

The spelling of 956380128 in words is "nine hundred fifty-six million, three hundred eighty thousand, one hundred twenty-eight".