96628224 has 320 divisors, whose sum is σ = 345692160. Its totient is φ = 23224320.

The previous prime is 96628183. The next prime is 96628241. The reversal of 96628224 is 42282669.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2247147 + ... + 2247189.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 2^96628224 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 96628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

96628224 is an abundant number, since it is smaller than the sum of its proper divisors (249063936).

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

96628224 is a wasteful number, since it uses less digits than its factorization.

96628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 96628224 is about 9829.9656154027. The cubic root of 96628224 is about 458.8823275229.

The spelling of 96628224 in words is "ninety-six million, six hundred twenty-eight thousand, two hundred twenty-four".