962065728 has 224 divisors, whose sum is σ = 3080918400. Its totient is φ = 292626432.

The previous prime is 962065721. The next prime is 962065729. The reversal of 962065728 is 827560269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962065721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2538243 + ... + 2538621.

It is an arithmetic number, because the mean of its divisors is an integer number (13754100).

Almost surely, 2^962065728 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 962065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540459200).

962065728 is an abundant number, since it is smaller than the sum of its proper divisors (2118852672).

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

962065728 is a wasteful number, since it uses less digits than its factorization.

962065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 962065728 is about 31017.1843983299. The cubic root of 962065728 is about 987.1918955053.

The spelling of 962065728 in words is "nine hundred sixty-two million, sixty-five thousand, seven hundred twenty-eight".