803785728 has 176 divisors, whose sum is σ = 2310981120. Its totient is φ = 247578624.

The previous prime is 803785727. The next prime is 803785751. The reversal of 803785728 is 827587308.

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 (803785727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2743150 + ... + 2743442.

Almost surely, 2^803785728 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 803785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155490560).

803785728 is an abundant number, since it is smaller than the sum of its proper divisors (1507195392).

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

803785728 is a wasteful number, since it uses less digits than its factorization.

803785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 803785728 is about 28351.1151103444. The cubic root of 803785728 is about 929.7797790509.

The spelling of 803785728 in words is "eight hundred three million, seven hundred eighty-five thousand, seven hundred twenty-eight".