96728736 has 96 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 29528064.

The previous prime is 96728729. The next prime is 96728741. The reversal of 96728736 is 63782769.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223176 + ... + 223608.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 2^96728736 is an apocalyptic number.

96728736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

96728736 is an abundant number, since it is smaller than the sum of its proper divisors (178878624).

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

96728736 is a wasteful number, since it uses less digits than its factorization.

96728736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

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

The square root of 96728736 is about 9835.0768171886. The cubic root of 96728736 is about 459.0413811117.

The spelling of 96728736 in words is "ninety-six million, seven hundred twenty-eight thousand, seven hundred thirty-six".