9560928400 has 45 divisors (see below), whose sum is σ = 22974829771. Its totient is φ = 3823589120.

The previous prime is 9560928379. The next prime is 9560928409. The reversal of 9560928400 is 48290659.

The square root of 9560928400 is 97780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38291344 + 9522637056 = 6188^2 + 97584^2 .

It is a super-2 number, since 2×9560928400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9560928409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1953156 + ... + 1958044.

Almost surely, 2^9560928400 is an apocalyptic number.

9560928400 is the 97780-th square number.

It is an amenable number.

9560928400 is an abundant number, since it is smaller than the sum of its proper divisors (13413901371).

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

9560928400 is an frugal number, since it uses more digits than its factorization.

9560928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9796 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The cubic root of 9560928400 is about 2122.4299004366.

The spelling of 9560928400 in words is "nine billion, five hundred sixty million, nine hundred twenty-eight thousand, four hundred".