96431328 has 144 divisors (see below), whose sum is σ = 323721216. Its totient is φ = 26645760.

The previous prime is 96431323. The next prime is 96431329. The reversal of 96431328 is 82313469.

96431328 is a `hidden beast` number, since 9 + 643 + 1 + 3 + 2 + 8 = 666.

96431328 is a nontrivial binomial coefficient, being equal to C(13888, 2).

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 96431292 and 96431301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96431323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61725 + ... + 63267.

It is an arithmetic number, because the mean of its divisors is an integer number (2248064).

Almost surely, 2^96431328 is an apocalyptic number.

96431328 is the 13887-th triangular number and also the 6944-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161860608).

96431328 is an abundant number, since it is smaller than the sum of its proper divisors (227289888).

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

96431328 is a wasteful number, since it uses less digits than its factorization.

96431328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1586 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 96431328 is about 9819.9454173636. The cubic root of 96431328 is about 458.5704326827.

The spelling of 96431328 in words is "ninety-six million, four hundred thirty-one thousand, three hundred twenty-eight".