968200128 has 140 divisors (see below), whose sum is σ = 3280178352. Its totient is φ = 276618240.

The previous prime is 968200087. The next prime is 968200139. The reversal of 968200128 is 821002869.

It is a super-2 number, since 2×968200128² = 1874822975718432768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 968200092 and 968200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22948 + ... + 49628.

Almost surely, 2^968200128 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 968200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640089176).

968200128 is an abundant number, since it is smaller than the sum of its proper divisors (2311978224).

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

968200128 is a wasteful number, since it uses less digits than its factorization.

968200128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26712 (or 26693 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 968200128 is about 31115.9143847646. The cubic root of 968200128 is about 989.2856554804.

The spelling of 968200128 in words is "nine hundred sixty-eight million, two hundred thousand, one hundred twenty-eight".