1956328920 has 576 divisors, whose sum is σ = 8402940000. Its totient is φ = 390168576.

The previous prime is 1956328897. The next prime is 1956328921. The reversal of 1956328920 is 298236591.

1956328920 is a `hidden beast` number, since 1 + 9 + 5 + 632 + 8 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1956328921) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 4356856 + ... + 4357304.

Almost surely, 2^1956328920 is an apocalyptic number.

1956328920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956328920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201470000).

1956328920 is an abundant number, since it is smaller than the sum of its proper divisors (6446611080).

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

1956328920 is a wasteful number, since it uses less digits than its factorization.

1956328920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1956328920 is about 44230.4071878159. The cubic root of 1956328920 is about 1250.6831295326.

The spelling of 1956328920 in words is "one billion, nine hundred fifty-six million, three hundred twenty-eight thousand, nine hundred twenty".