728099766 has 80 divisors (see below), whose sum is σ = 1757123280. Its totient is φ = 224501760.

The previous prime is 728099731. The next prime is 728099791. The reversal of 728099766 is 667990827.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160246 + ... + 164726.

It is an arithmetic number, because the mean of its divisors is an integer number (21964041).

Almost surely, 2^728099766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728099766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878561640).

728099766 is an abundant number, since it is smaller than the sum of its proper divisors (1029023514).

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

728099766 is a wasteful number, since it uses less digits than its factorization.

728099766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 728099766 is about 26983.3238501116. The cubic root of 728099766 is about 899.6293807336.

The spelling of 728099766 in words is "seven hundred twenty-eight million, ninety-nine thousand, seven hundred sixty-six".