729028404 has 96 divisors (see below), whose sum is σ = 2142672000. Its totient is φ = 212502528.

The previous prime is 729028397. The next prime is 729028411. The reversal of 729028404 is 404820927.

729028404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (729028397) and next prime (729028411).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13012 + ... + 40340.

It is an arithmetic number, because the mean of its divisors is an integer number (22319500).

Almost surely, 2^729028404 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 729028404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071336000).

729028404 is an abundant number, since it is smaller than the sum of its proper divisors (1413643596).

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

729028404 is a wasteful number, since it uses less digits than its factorization.

729028404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27374 (or 27366 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 729028404 is about 27000.5259948765. The cubic root of 729028404 is about 900.0116887371.

The spelling of 729028404 in words is "seven hundred twenty-nine million, twenty-eight thousand, four hundred four".