96928272 has 240 divisors, whose sum is σ = 342091200. Its totient is φ = 26127360.

The previous prime is 96928261. The next prime is 96928301. The reversal of 96928272 is 27282969.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402072 + ... + 402312.

It is an arithmetic number, because the mean of its divisors is an integer number (1425380).

Almost surely, 2^96928272 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 96928272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171045600).

96928272 is an abundant number, since it is smaller than the sum of its proper divisors (245162928).

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

96928272 is a wasteful number, since it uses less digits than its factorization.

96928272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 96928272 is about 9845.2156908826. The cubic root of 96928272 is about 459.3568074428.

It can be divided in two parts, 969 and 28272, that added together give a square (29241 = 171²).

The spelling of 96928272 in words is "ninety-six million, nine hundred twenty-eight thousand, two hundred seventy-two".