96412897728 has 252 divisors, whose sum is σ = 327969353712. Its totient is φ = 27545702400.

The previous prime is 96412897697. The next prime is 96412897729. The reversal of 96412897728 is 82779821469.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96412897729) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2922928 + ... + 2955728.

Almost surely, 2^96412897728 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 96412897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163984676856).

96412897728 is an abundant number, since it is smaller than the sum of its proper divisors (231556455984).

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

96412897728 is an frugal number, since it uses more digits than its factorization.

96412897728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32844 (or 32813 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 96412897728 in words is "ninety-six billion, four hundred twelve million, eight hundred ninety-seven thousand, seven hundred twenty-eight".