968428800 has 648 divisors, whose sum is σ = 3914374464. Its totient is φ = 227082240.

The previous prime is 968428789. The next prime is 968428801. The reversal of 968428800 is 8824869.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968428801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22521579 + ... + 22521621.

Almost surely, 2^968428800 is an apocalyptic number.

968428800 is a gapful number since it is divisible by the number (90) 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 968428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957187232).

968428800 is an abundant number, since it is smaller than the sum of its proper divisors (2945945664).

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

968428800 is a wasteful number, since it uses less digits than its factorization.

968428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 968428800 is about 31119.5886862278. The cubic root of 968428800 is about 989.3635333609.

The spelling of 968428800 in words is "nine hundred sixty-eight million, four hundred twenty-eight thousand, eight hundred".