793828728 has 192 divisors, whose sum is σ = 2770656000. Its totient is φ = 206141760.

The previous prime is 793828727. The next prime is 793828741. The reversal of 793828728 is 827828397.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793828723) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 180783 + ... + 185121.

It is an arithmetic number, because the mean of its divisors is an integer number (14430500).

Almost surely, 2^793828728 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 793828728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385328000).

793828728 is an abundant number, since it is smaller than the sum of its proper divisors (1976827272).

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

793828728 is a wasteful number, since it uses less digits than its factorization.

793828728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4362 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 793828728 is about 28174.9663353836. The cubic root of 793828728 is about 925.9245600617.

The spelling of 793828728 in words is "seven hundred ninety-three million, eight hundred twenty-eight thousand, seven hundred twenty-eight".