728328808080000 has 1600 divisors, whose sum is σ = 2834229115365120. Its totient is φ = 185377351680000.

The previous prime is 728328808079989. The next prime is 728328808080011. The reversal of 728328808080000 is 80808823827.

It is a happy number.

728328808080000 is a `hidden beast` number, since 7 + 283 + 288 + 0 + 8 + 0 + 80 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (728328808079989) and next prime (728328808080011).

It is a tau number, because it is divible by the number of its divisors (1600).

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 199 ways as a sum of consecutive naturals, for example, 14664215167 + ... + 14664264833.

Almost surely, 2^{728328808080000} 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 728328808080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417114557682560).

728328808080000 is an abundant number, since it is smaller than the sum of its proper divisors (2105900307285120).

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

728328808080000 is an equidigital number, since it uses as much as digits as its factorization.

728328808080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49817 (or 49781 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 728328808080000 in words is "seven hundred twenty-eight trillion, three hundred twenty-eight billion, eight hundred eight million, eighty thousand".