96628441 has 12 divisors (see below), whose sum is σ = 121051812. Its totient is φ = 76452768.

The previous prime is 96628409. The next prime is 96628463. The reversal of 96628441 is 14482669.

It can be written as a sum of positive squares in 2 ways, for example, as 17347225 + 79281216 = 4165^2 + 8904^2 .

It is not a de Polignac number, because 96628441 - 2⁵ = 96628409 is a prime.

It is a super-2 number, since 2×96628441² = 18674111220180962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96628394 and 96628403.

It is not an unprimeable number, because it can be changed into a prime (96628481) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75210 + ... + 76483.

It is an arithmetic number, because the mean of its divisors is an integer number (10087651).

Almost surely, 2^96628441 is an apocalyptic number.

96628441 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

96628441 is a deficient number, since it is larger than the sum of its proper divisors (24423371).

96628441 is a wasteful number, since it uses less digits than its factorization.

96628441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151720 (or 151713 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 96628441 is about 9829.9766530750. The cubic root of 96628441 is about 458.8826710298.

The spelling of 96628441 in words is "ninety-six million, six hundred twenty-eight thousand, four hundred forty-one".