728026560 has 168 divisors, whose sum is σ = 2514142800. Its totient is φ = 193363968.

The previous prime is 728026549. The next prime is 728026571. The reversal of 728026560 is 65620827.

728026560 is a `hidden beast` number, since 72 + 8 + 0 + 26 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (728026549) and next prime (728026571).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1292839 + ... + 1293401.

Almost surely, 2^728026560 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 728026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257071400).

728026560 is an abundant number, since it is smaller than the sum of its proper divisors (1786116240).

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

728026560 is a wasteful number, since it uses less digits than its factorization.

728026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 728026560 is about 26981.9673115212. The cubic root of 728026560 is about 899.5992289701.

The spelling of 728026560 in words is "seven hundred twenty-eight million, twenty-six thousand, five hundred sixty".