313789728 has 144 divisors (see below), whose sum is σ = 982152864. Its totient is φ = 87413760.

The previous prime is 313789727. The next prime is 313789811. The reversal of 313789728 is 827987313.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (313789727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192051 + ... + 193677.

It is an arithmetic number, because the mean of its divisors is an integer number (6820506).

Almost surely, 2^313789728 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 313789728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491076432).

313789728 is an abundant number, since it is smaller than the sum of its proper divisors (668363136).

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

313789728 is a wasteful number, since it uses less digits than its factorization.

313789728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1680 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 313789728 is about 17714.1109853134. The cubic root of 313789728 is about 679.5366855482.

The spelling of 313789728 in words is "three hundred thirteen million, seven hundred eighty-nine thousand, seven hundred twenty-eight".