728132340 has 96 divisors (see below), whose sum is σ = 2266500096. Its totient is φ = 173445120.

The previous prime is 728132323. The next prime is 728132341. The reversal of 728132340 is 43231827.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 728132298 and 728132307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728132341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9124 + ... + 39236.

It is an arithmetic number, because the mean of its divisors is an integer number (23609376).

Almost surely, 2^728132340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133250048).

728132340 is an abundant number, since it is smaller than the sum of its proper divisors (1538367756).

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

728132340 is a wasteful number, since it uses less digits than its factorization.

728132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30169 (or 30167 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 728132340 is about 26983.9274383845. The cubic root of 728132340 is about 899.6427965189.

It can be divided in two parts, 7281 and 32340, that added together give a triangular number (39621 = T₂₈₁).

The spelling of 728132340 in words is "seven hundred twenty-eight million, one hundred thirty-two thousand, three hundred forty".