728998341120 has 1600 divisors, whose sum is σ = 3264924174336. Its totient is φ = 151608360960.

The previous prime is 728998341119. The next prime is 728998341139. The reversal of 728998341120 is 21143899827.

728998341120 is a `hidden beast` number, since 7 + 289 + 9 + 8 + 341 + 12 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 764950564 + ... + 764951516.

Almost surely, 2^728998341120 is an apocalyptic number.

728998341120 is a gapful number since it is divisible by the number (70) 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 728998341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632462087168).

728998341120 is an abundant number, since it is smaller than the sum of its proper divisors (2535925833216).

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

728998341120 is a wasteful number, since it uses less digits than its factorization.

728998341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 728998341120 in words is "seven hundred twenty-eight billion, nine hundred ninety-eight million, three hundred forty-one thousand, one hundred twenty".