307993728 has 128 divisors (see below), whose sum is σ = 942480000. Its totient is φ = 87293952.

The previous prime is 307993633. The next prime is 307993729. The reversal of 307993728 is 827399703.

307993728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct 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 (307993729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400128 + ... + 400896.

It is an arithmetic number, because the mean of its divisors is an integer number (7363125).

Almost surely, 2^307993728 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 307993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471240000).

307993728 is an abundant number, since it is smaller than the sum of its proper divisors (634486272).

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

307993728 is a wasteful number, since it uses less digits than its factorization.

307993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 307993728 is about 17549.7500836907. The cubic root of 307993728 is about 675.3267575710.

The spelling of 307993728 in words is "three hundred seven million, nine hundred ninety-three thousand, seven hundred twenty-eight".