728294112 has 384 divisors, whose sum is σ = 2675635200. Its totient is φ = 187619328.

The previous prime is 728294101. The next prime is 728294117. The reversal of 728294112 is 211492827.

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

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 (728294117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4638738 + ... + 4638894.

It is an arithmetic number, because the mean of its divisors is an integer number (6967800).

Almost surely, 2^728294112 is an apocalyptic number.

728294112 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 728294112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337817600).

728294112 is an abundant number, since it is smaller than the sum of its proper divisors (1947341088).

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

728294112 is a wasteful number, since it uses less digits than its factorization.

728294112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 728294112 is about 26986.9248340747. The cubic root of 728294112 is about 899.7094173009.

The spelling of 728294112 in words is "seven hundred twenty-eight million, two hundred ninety-four thousand, one hundred twelve".