903828120 has 256 divisors, whose sum is σ = 3125485440. Its totient is φ = 207126528.

The previous prime is 903828113. The next prime is 903828131. The reversal of 903828120 is 21828309.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4587862 + ... + 4588058.

Almost surely, 2^903828120 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 903828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562742720).

903828120 is an abundant number, since it is smaller than the sum of its proper divisors (2221657320).

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

903828120 is a wasteful number, since it uses less digits than its factorization.

903828120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 903828120 is about 30063.7342989855. The cubic root of 903828120 is about 966.8563406378.

The spelling of 903828120 in words is "nine hundred three million, eight hundred twenty-eight thousand, one hundred twenty".