962416728 has 320 divisors, whose sum is σ = 3496416000. Its totient is φ = 240185088.

The previous prime is 962416723. The next prime is 962416753. The reversal of 962416728 is 827614269.

It is a happy number.

962416728 is a `hidden beast` number, since 9 + 624 + 16 + 7 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962416723) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1119963 + ... + 1120821.

It is an arithmetic number, because the mean of its divisors is an integer number (10926300).

Almost surely, 2^962416728 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 962416728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748208000).

962416728 is an abundant number, since it is smaller than the sum of its proper divisors (2533999272).

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

962416728 is a wasteful number, since it uses less digits than its factorization.

962416728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 962416728 is about 31022.8420361514. The cubic root of 962416728 is about 987.3119365843.

The spelling of 962416728 in words is "nine hundred sixty-two million, four hundred sixteen thousand, seven hundred twenty-eight".