96432973728 has 768 divisors, whose sum is σ = 337784832000. Its totient is φ = 24040074240.

The previous prime is 96432973723. The next prime is 96432973783. The reversal of 96432973728 is 82737923469.

Its product of digits (27433728) is a multiple of the sum of its prime factors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96432973723) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2242627275 + ... + 2242627317.

It is an arithmetic number, because the mean of its divisors is an integer number (439824000).

Almost surely, 2^96432973728 is an apocalyptic number.

96432973728 is a gapful number since it is divisible by the number (98) 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 96432973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168892416000).

96432973728 is an abundant number, since it is smaller than the sum of its proper divisors (241351858272).

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

96432973728 is a wasteful number, since it uses less digits than its factorization.

96432973728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 99 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 60.

The spelling of 96432973728 in words is "ninety-six billion, four hundred thirty-two million, nine hundred seventy-three thousand, seven hundred twenty-eight".