728289792 has 200 divisors, whose sum is σ = 2303849196. Its totient is φ = 228261888.

The previous prime is 728289791. The next prime is 728289949. The reversal of 728289792 is 297982827.

It can be written as a sum of positive squares in 2 ways, for example, as 592240896 + 136048896 = 24336^2 + 11664^2 .

It is a super-2 number, since 2×728289792² = 1060812042262806528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728289791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704508 + ... + 705540.

Almost surely, 2^728289792 is an apocalyptic number.

728289792 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 728289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151924598).

728289792 is an abundant number, since it is smaller than the sum of its proper divisors (1575559404).

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

728289792 is a wasteful number, since it uses less digits than its factorization.

728289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1055 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 728289792 is about 26986.8447951960. The cubic root of 728289792 is about 899.7076383710.

The spelling of 728289792 in words is "seven hundred twenty-eight million, two hundred eighty-nine thousand, seven hundred ninety-two".