93428649600 has 1152 divisors, whose sum is σ = 381519331200. Its totient is φ = 19923763200.

The previous prime is 93428649563. The next prime is 93428649647. The reversal of 93428649600 is 694682439.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 347318266 + ... + 347318534.

It is an arithmetic number, because the mean of its divisors is an integer number (331179975).

Almost surely, 2^93428649600 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 93428649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190759665600).

93428649600 is an abundant number, since it is smaller than the sum of its proper divisors (288090681600).

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

93428649600 is a wasteful number, since it uses less digits than its factorization.

93428649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 93428649600 in words is "ninety-three billion, four hundred twenty-eight million, six hundred forty-nine thousand, six hundred".