728367360 has 360 divisors, whose sum is σ = 2748117120. Its totient is φ = 164376576.

The previous prime is 728367359. The next prime is 728367361. The reversal of 728367360 is 63763827.

It is an interprime number because it is at equal distance from previous prime (728367359) and next prime (728367361).

It is a super-2 number, since 2×728367360² = 1061038022226739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728367361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9219801 + ... + 9219879.

Almost surely, 2^728367360 is an apocalyptic number.

728367360 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 728367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374058560).

728367360 is an abundant number, since it is smaller than the sum of its proper divisors (2019749760).

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

728367360 is an frugal number, since it uses more digits than its factorization.

728367360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 728367360 is about 26988.2819015957. The cubic root of 728367360 is about 899.7395789737.

The spelling of 728367360 in words is "seven hundred twenty-eight million, three hundred sixty-seven thousand, three hundred sixty".