93402128820 has 576 divisors, whose sum is σ = 363457156608. Its totient is φ = 17426534400.

The previous prime is 93402128777. The next prime is 93402128837. The reversal of 93402128820 is 2882120439.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24442510 + ... + 24446330.

It is an arithmetic number, because the mean of its divisors is an integer number (631002008).

Almost surely, 2^93402128820 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 93402128820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181728578304).

93402128820 is an abundant number, since it is smaller than the sum of its proper divisors (270055027788).

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

93402128820 is a wasteful number, since it uses less digits than its factorization.

93402128820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

It can be divided in two parts, 93402 and 128820, that added together give a palindrome (222222).

The spelling of 93402128820 in words is "ninety-three billion, four hundred two million, one hundred twenty-eight thousand, eight hundred twenty".