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9828094320 = 24325112971163
BaseRepresentation
bin10010010011100110…
…01101000101110000
3221100221021220212100
421021303031011300
5130111443004240
64303122100400
7465356265132
oct111163150560
927327256770
109828094320
114193780800
121aa34aa700
13c081bb935
146933b5052
153c7c52e30
hex249ccd170

9828094320 has 360 divisors, whose sum is σ = 36684870768. Its totient is φ = 2355978240.

The previous prime is 9828094313. The next prime is 9828094369. The reversal of 9828094320 is 234908289.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8450059 + ... + 8451221.

Almost surely, 29828094320 is an apocalyptic number.

9828094320 is a gapful number since it is divisible by the number (90) 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 9828094320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18342435384).

9828094320 is an abundant number, since it is smaller than the sum of its proper divisors (26856776448).

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

9828094320 is a wasteful number, since it uses less digits than its factorization.

9828094320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9828094320 is about 99136.7455588492. The cubic root of 9828094320 is about 2142.0179468977.

The spelling of 9828094320 in words is "nine billion, eight hundred twenty-eight million, ninety-four thousand, three hundred twenty".