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28092384 = 2532234241
BaseRepresentation
bin110101100101…
…0011111100000
31221212020111200
41223022133200
524142424014
62442041200
7460531665
oct153123740
957766450
1028092384
1114948251
1294a9200
135a87918
143a33a6c
1526eda09
hex1aca7e0

28092384 has 72 divisors (see below), whose sum is σ = 83380752. Its totient is φ = 8954880.

The previous prime is 28092367. The next prime is 28092419. The reversal of 28092384 is 48329082.

It is a tau number, because it is divible by the number of its divisors (72).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4504 + ... + 8744.

It is an arithmetic number, because the mean of its divisors is an integer number (1158066).

Almost surely, 228092384 is an apocalyptic number.

28092384 is a gapful number since it is divisible by the number (24) 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 28092384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41690376).

28092384 is an abundant number, since it is smaller than the sum of its proper divisors (55288368).

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

28092384 is a wasteful number, since it uses less digits than its factorization.

28092384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 28092384 is about 5300.2249008886. The cubic root of 28092384 is about 303.9924975064.

The spelling of 28092384 in words is "twenty-eight million, ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 4241 6624 8482 12723 16964 25446 33928 38169 50892 67856 76338 97543 101784 135712 152676 195086 203568 292629 305352 390172 407136 585258 610704 780344 877887 1170516 1221408 1560688 1755774 2341032 3121376 3511548 4682064 7023096 9364128 14046192 28092384