728193744 has 120 divisors (see below), whose sum is σ = 2116088520. Its totient is φ = 233570304.

The previous prime is 728193733. The next prime is 728193769. The reversal of 728193744 is 447391827.

It can be written as a sum of positive squares in 4 ways, for example, as 47610000 + 680583744 = 6900^2 + 26088^2 .

It is a super-2 number, since 2×728193744² = 1060532257601475072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 728193744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516112 + ... + 517520.

It is an arithmetic number, because the mean of its divisors is an integer number (17634071).

Almost surely, 2^728193744 is an apocalyptic number.

728193744 is a gapful number since it is divisible by the number (74) 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 728193744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058044260).

728193744 is an abundant number, since it is smaller than the sum of its proper divisors (1387894776).

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

728193744 is a wasteful number, since it uses less digits than its factorization.

728193744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1548 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 728193744 is about 26985.0652028117. The cubic root of 728193744 is about 899.6680850141.

It can be divided in two parts, 7281 and 93744, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 728193744 in words is "seven hundred twenty-eight million, one hundred ninety-three thousand, seven hundred forty-four".