1956458328 has 96 divisors (see below), whose sum is σ = 5668349760. Its totient is φ = 557969920.

The previous prime is 1956458303. The next prime is 1956458369. The reversal of 1956458328 is 8238546591.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63475 + ... + 89117.

It is an arithmetic number, because the mean of its divisors is an integer number (59045310).

Almost surely, 2^1956458328 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 1956458328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834174880).

1956458328 is an abundant number, since it is smaller than the sum of its proper divisors (3711891432).

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

1956458328 is a wasteful number, since it uses less digits than its factorization.

1956458328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25697 (or 25676 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 1956458328 is about 44231.8700486425. The cubic root of 1956458328 is about 1250.7107058145.

The spelling of 1956458328 in words is "one billion, nine hundred fifty-six million, four hundred fifty-eight thousand, three hundred twenty-eight".