728980342272 has 1440 divisors, whose sum is σ = 2816133255936. Its totient is φ = 183279697920.

The previous prime is 728980342229. The next prime is 728980342273. The reversal of 728980342272 is 272243089827.

728980342272 is a `hidden beast` number, since 7 + 28 + 9 + 8 + 0 + 342 + 272 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728980342273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10880303583 + ... + 10880303649.

Almost surely, 2^728980342272 is an apocalyptic number.

728980342272 is a gapful number since it is divisible by the number (72) 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 728980342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408066627968).

728980342272 is an abundant number, since it is smaller than the sum of its proper divisors (2087152913664).

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

728980342272 is an equidigital number, since it uses as much as digits as its factorization.

728980342272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 728980342272 in words is "seven hundred twenty-eight billion, nine hundred eighty million, three hundred forty-two thousand, two hundred seventy-two".