728970140160 has 1600 divisors, whose sum is σ = 2974879809792. Its totient is φ = 170272751616.

The previous prime is 728970140153. The next prime is 728970140167. The reversal of 728970140160 is 61041079827.

It is a happy number.

728970140160 is a `hidden beast` number, since 7 + 289 + 70 + 140 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (728970140153) and next prime (728970140167).

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 (728970140167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19701895662 + ... + 19701895698.

Almost surely, 2^728970140160 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 728970140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487439904896).

728970140160 is an abundant number, since it is smaller than the sum of its proper divisors (2245909669632).

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

728970140160 is an frugal number, since it uses more digits than its factorization.

728970140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 728970140160 in words is "seven hundred twenty-eight billion, nine hundred seventy million, one hundred forty thousand, one hundred sixty".