958472328256 has 63 divisors (see below), whose sum is σ = 1939371741391. Its totient is φ = 469990337024.

The previous prime is 958472328217. The next prime is 958472328257. The reversal of 958472328256 is 652823274859.

The square root of 958472328256 is 979016.

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 301049742400 + 657422585856 = 548680^2 + 810816^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 958472328194 and 958472328203.

It is not an unprimeable number, because it can be changed into a prime (958472328257) 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, 415101630 + ... + 415103938.

Almost surely, 2^958472328256 is an apocalyptic number.

958472328256 is the 979016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 958472328256

958472328256 is an abundant number, since it is smaller than the sum of its proper divisors (980899413135).

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

958472328256 is an frugal number, since it uses more digits than its factorization.

958472328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 2364 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 61.

The spelling of 958472328256 in words is "nine hundred fifty-eight billion, four hundred seventy-two million, three hundred twenty-eight thousand, two hundred fifty-six".