728616280 has 96 divisors (see below), whose sum is σ = 1913736240. Its totient is φ = 248935680.

The previous prime is 728616253. The next prime is 728616283. The reversal of 728616280 is 82616827.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728616283) 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 23 ways as a sum of consecutive naturals, for example, 824719 + ... + 825601.

Almost surely, 2^728616280 is an apocalyptic number.

728616280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728616280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956868120).

728616280 is an abundant number, since it is smaller than the sum of its proper divisors (1185119960).

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

728616280 is a wasteful number, since it uses less digits than its factorization.

728616280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 728616280 is about 26992.8931387504. The cubic root of 728616280 is about 899.8420628209.

The spelling of 728616280 in words is "seven hundred twenty-eight million, six hundred sixteen thousand, two hundred eighty".