803727428 has 48 divisors (see below), whose sum is σ = 1743565824. Its totient is φ = 316277760.

The previous prime is 803727389. The next prime is 803727451. The reversal of 803727428 is 824727308.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 1076 + ... + 40107.

It is an arithmetic number, because the mean of its divisors is an integer number (36324288).

Almost surely, 2^803727428 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 803727428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871782912).

803727428 is an abundant number, since it is smaller than the sum of its proper divisors (939838396).

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

803727428 is a wasteful number, since it uses less digits than its factorization.

803727428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41252 (or 41250 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 803727428 is about 28350.0869134470. The cubic root of 803727428 is about 929.7572989836.

The spelling of 803727428 in words is "eight hundred three million, seven hundred twenty-seven thousand, four hundred twenty-eight".