728871840 has 288 divisors, whose sum is σ = 2646483840. Its totient is φ = 182274048.

The previous prime is 728871839. The next prime is 728871841. The reversal of 728871840 is 48178827.

728871840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (728871839) and next prime (728871841).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728871841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1953894 + ... + 1954266.

It is an arithmetic number, because the mean of its divisors is an integer number (9189180).

Almost surely, 2^728871840 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 728871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323241920).

728871840 is an abundant number, since it is smaller than the sum of its proper divisors (1917612000).

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

728871840 is a wasteful number, since it uses less digits than its factorization.

728871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 728871840 is about 26997.6265623480. The cubic root of 728871840 is about 899.9472561683.

The spelling of 728871840 in words is "seven hundred twenty-eight million, eight hundred seventy-one thousand, eight hundred forty".