961028768 has 144 divisors (see below), whose sum is σ = 2407636224. Its totient is φ = 374814720.

The previous prime is 961028753. The next prime is 961028813. The reversal of 961028768 is 867820169.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825755 + ... + 826917.

It is an arithmetic number, because the mean of its divisors is an integer number (16719696).

Almost surely, 2^961028768 is an apocalyptic number.

961028768 is a gapful number since it is divisible by the number (98) 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 961028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203818112).

961028768 is an abundant number, since it is smaller than the sum of its proper divisors (1446607456).

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

961028768 is a wasteful number, since it uses less digits than its factorization.

961028768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 961028768 is about 31000.4639965275. The cubic root of 961028768 is about 986.8370872740.

The spelling of 961028768 in words is "nine hundred sixty-one million, twenty-eight thousand, seven hundred sixty-eight".