728695440 has 200 divisors, whose sum is σ = 2761216128. Its totient is φ = 176636160.

The previous prime is 728695433. The next prime is 728695459. The reversal of 728695440 is 44596827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66169 + ... + 76391.

Almost surely, 2^728695440 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 728695440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380608064).

728695440 is an abundant number, since it is smaller than the sum of its proper divisors (2032520688).

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

728695440 is a wasteful number, since it uses less digits than its factorization.

728695440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10259 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 728695440 is about 26994.3594108103. The cubic root of 728695440 is about 899.8746492088.

The spelling of 728695440 in words is "seven hundred twenty-eight million, six hundred ninety-five thousand, four hundred forty".