918393728 has 128 divisors (see below), whose sum is σ = 2234208000. Its totient is φ = 367276032.

The previous prime is 918393719. The next prime is 918393739. The reversal of 918393728 is 827393819.

It is a happy number.

918393728 is digitally balanced in base 2, 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242383 + ... + 1243121.

It is an arithmetic number, because the mean of its divisors is an integer number (17454750).

Almost surely, 2^918393728 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 918393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117104000).

918393728 is an abundant number, since it is smaller than the sum of its proper divisors (1315814272).

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

918393728 is a wasteful number, since it uses less digits than its factorization.

918393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 840 counting only the distinct ones).

The product of its digits is 653184, while the sum is 50.

The square root of 918393728 is about 30305.0115987439. The cubic root of 918393728 is about 972.0224666972.

Subtracting from 918393728 its reverse (827393819), we obtain a palindrome (90999909).

The spelling of 918393728 in words is "nine hundred eighteen million, three hundred ninety-three thousand, seven hundred twenty-eight".