728141400 has 240 divisors, whose sum is σ = 2890670640. Its totient is φ = 166406400.

The previous prime is 728141387. The next prime is 728141411. The reversal of 728141400 is 4141827.

728141400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 110190 + ... + 116610.

It is an arithmetic number, because the mean of its divisors is an integer number (12044461).

Almost surely, 2^728141400 is an apocalyptic number.

728141400 is a gapful number since it is divisible by the number (70) 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 728141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445335320).

728141400 is an abundant number, since it is smaller than the sum of its proper divisors (2162529240).

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

728141400 is a wasteful number, since it uses less digits than its factorization.

728141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 728141400 is about 26984.0953155743. The cubic root of 728141400 is about 899.6465278598.

The spelling of 728141400 in words is "seven hundred twenty-eight million, one hundred forty-one thousand, four hundred".