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28842912 = 2533719251
BaseRepresentation
bin110111000000…
…1101110100000
32000021101001000
41232001232200
524340433122
62510112000
7500106060
oct156015640
960241030
1028842912
111531011a
1297ab600
135c8b417
143b8b3a0
1527eb0ac
hex1b81ba0

28842912 has 192 divisors, whose sum is σ = 101606400. Its totient is φ = 7776000.

The previous prime is 28842889. The next prime is 28842929. The reversal of 28842912 is 21924882.

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

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 114787 + ... + 115037.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 228842912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28842912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

28842912 is an abundant number, since it is smaller than the sum of its proper divisors (72763488).

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

28842912 is a wasteful number, since it uses less digits than its factorization.

28842912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 28842912 is about 5370.5597473634. The cubic root of 28842912 is about 306.6759375479.

The spelling of 28842912 in words is "twenty-eight million, eight hundred forty-two thousand, nine hundred twelve".