260728000 has 224 divisors, whose sum is σ = 732251520. Its totient is φ = 91238400.

The previous prime is 260727959. The next prime is 260728001. The reversal of 260728000 is 827062.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260728001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391946 + ... + 2392054.

It is an arithmetic number, because the mean of its divisors is an integer number (3268980).

Almost surely, 2^260728000 is an apocalyptic number.

260728000 is a gapful number since it is divisible by the number (20) 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 260728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366125760).

260728000 is an abundant number, since it is smaller than the sum of its proper divisors (471523520).

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

260728000 is a wasteful number, since it uses less digits than its factorization.

260728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 260728000 is about 16147.0740383513. The cubic root of 260728000 is about 638.8455751634.

The spelling of 260728000 in words is "two hundred sixty million, seven hundred twenty-eight thousand".