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828000000 = 28325623
BaseRepresentation
bin110001010110100…
…100011100000000
32010201000202110200
4301112210130000
53143432000000
6214054525200
726342612112
oct6126443400
92121022420
10828000000
11395425723
121b1366800
13102707739
147bd773b2
154ca58500
hex315a4700

828000000 has 378 divisors, whose sum is σ = 3113866392. Its totient is φ = 211200000.

The previous prime is 827999989. The next prime is 828000001. The reversal of 828000000 is 828.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828000001) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 35999989 + ... + 36000011.

Almost surely, 2828000000 is an apocalyptic number.

828000000 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 828000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556933196).

828000000 is an abundant number, since it is smaller than the sum of its proper divisors (2285866392).

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

828000000 is an frugal number, since it uses more digits than its factorization.

828000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 828000000 is about 28774.9891398763. The cubic root of 828000000 is about 939.0241873004.

Adding to 828000000 its reverse (828), we get a palindrome (828000828).

Multiplying 828000000 by its reverse (828), we get a square (685584000000 = 8280002).

828000000 divided by its reverse (828) gives a 6-th power (1000000 = 106).

The spelling of 828000000 in words is "eight hundred twenty-eight million", and thus it is an aban number.