728229312 has 224 divisors, whose sum is σ = 2273564160. Its totient is φ = 228096000.

The previous prime is 728229269. The next prime is 728229317. The reversal of 728229312 is 213922827.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728229317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2901187 + ... + 2901437.

It is an arithmetic number, because the mean of its divisors is an integer number (10149840).

Almost surely, 2^728229312 is an apocalyptic number.

728229312 is a gapful number since it is divisible by the number (72) 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 728229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136782080).

728229312 is an abundant number, since it is smaller than the sum of its proper divisors (1545334848).

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

728229312 is a wasteful number, since it uses less digits than its factorization.

728229312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 728229312 is about 26985.7242259681. The cubic root of 728229312 is about 899.6827326147.

The spelling of 728229312 in words is "seven hundred twenty-eight million, two hundred twenty-nine thousand, three hundred twelve".