728156646144 has 576 divisors, whose sum is σ = 2242997299200. Its totient is φ = 235818086400.

The previous prime is 728156646137. The next prime is 728156646179. The reversal of 728156646144 is 441646651827.

728156646144 is a `hidden beast` number, since 7 + 2 + 8 + 15 + 6 + 6 + 4 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4467218607 + ... + 4467218769.

Almost surely, 2^728156646144 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 728156646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121498649600).

728156646144 is an abundant number, since it is smaller than the sum of its proper divisors (1514840653056).

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

728156646144 is an equidigital number, since it uses as much as digits as its factorization.

728156646144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 348 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 728156646144 in words is "seven hundred twenty-eight billion, one hundred fifty-six million, six hundred forty-six thousand, one hundred forty-four".