94193281728 has 672 divisors, whose sum is σ = 351419281920. Its totient is φ = 24519075840.

The previous prime is 94193281697. The next prime is 94193281739. The reversal of 94193281728 is 82718239149.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91360573 + ... + 91361603.

It is an arithmetic number, because the mean of its divisors is an integer number (522945360).

Almost surely, 2^94193281728 is an apocalyptic number.

94193281728 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 94193281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175709640960).

94193281728 is an abundant number, since it is smaller than the sum of its proper divisors (257226000192).

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

94193281728 is a wasteful number, since it uses less digits than its factorization.

94193281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1139 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 94193281728 in words is "ninety-four billion, one hundred ninety-three million, two hundred eighty-one thousand, seven hundred twenty-eight".