93928074240 has 1408 divisors, whose sum is σ = 415976601600. Its totient is φ = 17458790400.

The previous prime is 93928074223. The next prime is 93928074299. The reversal of 93928074240 is 4247082939.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a self number, because there is not a number n which added to its sum of digits gives 93928074240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 630389686 + ... + 630389834.

Almost surely, 2^93928074240 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 93928074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207988300800).

93928074240 is an abundant number, since it is smaller than the sum of its proper divisors (322048527360).

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

93928074240 is a wasteful number, since it uses less digits than its factorization.

93928074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 93928074240 in words is "ninety-three billion, nine hundred twenty-eight million, seventy-four thousand, two hundred forty".