9249828672 has 224 divisors, whose sum is σ = 30723840000. Its totient is φ = 2394703872.

The previous prime is 9249828647. The next prime is 9249828689. The reversal of 9249828672 is 2768289429.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×9249828672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579454 + ... + 595202.

It is an arithmetic number, because the mean of its divisors is an integer number (137160000).

Almost surely, 2^9249828672 is an apocalyptic number.

9249828672 is a gapful number since it is divisible by the number (92) 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 9249828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920000).

9249828672 is an abundant number, since it is smaller than the sum of its proper divisors (21474011328).

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

9249828672 is a wasteful number, since it uses less digits than its factorization.

9249828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813 (or 15803 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 9249828672 is about 96176.0296123727. The cubic root of 9249828672 is about 2099.1552665974.

The spelling of 9249828672 in words is "nine billion, two hundred forty-nine million, eight hundred twenty-eight thousand, six hundred seventy-two".