903728904 has 64 divisors (see below), whose sum is σ = 2466508800. Its totient is φ = 274254336.

The previous prime is 903728899. The next prime is 903728909. The reversal of 903728904 is 409827309.

It is an interprime number because it is at equal distance from previous prime (903728899) and next prime (903728909).

It is not an unprimeable number, because it can be changed into a prime (903728909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2937 + ... + 42615.

It is an arithmetic number, because the mean of its divisors is an integer number (38539200).

Almost surely, 2^903728904 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 903728904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233254400).

903728904 is an abundant number, since it is smaller than the sum of its proper divisors (1562779896).

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

903728904 is a wasteful number, since it uses less digits than its factorization.

903728904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39774 (or 39770 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 903728904 is about 30062.0841592861. The cubic root of 903728904 is about 966.8209610759.

The spelling of 903728904 in words is "nine hundred three million, seven hundred twenty-eight thousand, nine hundred four".