8729280000 has 600 divisors, whose sum is σ = 36061993968. Its totient is φ = 1990656000.

The previous prime is 8729279983. The next prime is 8729280023. The reversal of 8729280000 is 829278.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20159784 + ... + 20160216.

Almost surely, 2^8729280000 is an apocalyptic number.

8729280000 is a gapful number since it is divisible by the number (80) 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 8729280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030996984).

8729280000 is an abundant number, since it is smaller than the sum of its proper divisors (27332713968).

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

8729280000 is an equidigital number, since it uses as much as digits as its factorization.

8729280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8729280000 is about 93430.6159671443. The cubic root of 8729280000 is about 2059.0148304035.

The spelling of 8729280000 in words is "eight billion, seven hundred twenty-nine million, two hundred eighty thousand".