303373728 has 192 divisors, whose sum is σ = 1023160320. Its totient is φ = 85660416.

The previous prime is 303373691. The next prime is 303373753. The reversal of 303373728 is 827373303.

303373728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 303373692 and 303373701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622701 + ... + 623187.

It is an arithmetic number, because the mean of its divisors is an integer number (5328960).

Almost surely, 2^303373728 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 303373728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511580160).

303373728 is an abundant number, since it is smaller than the sum of its proper divisors (719786592).

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

303373728 is a wasteful number, since it uses less digits than its factorization.

303373728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 303373728 is about 17417.6269336555. The cubic root of 303373728 is about 671.9330290402.

The spelling of 303373728 in words is "three hundred three million, three hundred seventy-three thousand, seven hundred twenty-eight".