96673728 has 56 divisors (see below), whose sum is σ = 256763520. Its totient is φ = 32101120.

The previous prime is 96673727. The next prime is 96673757. The reversal of 96673728 is 82737669.

96673728 = T₂₆₇ + T₂₆₈ + ... + T₈₄₂.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96673721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58903 + ... + 60521.

Almost surely, 2^96673728 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 96673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

96673728 is an abundant number, since it is smaller than the sum of its proper divisors (160089792).

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

96673728 is a wasteful number, since it uses less digits than its factorization.

96673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1935 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 96673728 is about 9832.2798983756. The cubic root of 96673728 is about 458.9543482490.

The spelling of 96673728 in words is "ninety-six million, six hundred seventy-three thousand, seven hundred twenty-eight".