993739488 has 192 divisors, whose sum is σ = 3243276288. Its totient is φ = 259891200.

The previous prime is 993739469. The next prime is 993739493. The reversal of 993739488 is 884937399.

993739488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×993739488⁵ (a number of 46 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421513 + ... + 423863.

It is an arithmetic number, because the mean of its divisors is an integer number (16892064).

Almost surely, 2^993739488 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 993739488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621638144).

993739488 is an abundant number, since it is smaller than the sum of its proper divisors (2249536800).

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

993739488 is a wasteful number, since it uses less digits than its factorization.

993739488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2417 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 60.

The square root of 993739488 is about 31523.6338006899. The cubic root of 993739488 is about 997.9087925665.

The spelling of 993739488 in words is "nine hundred ninety-three million, seven hundred thirty-nine thousand, four hundred eighty-eight".