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28223664 = 2437194421
BaseRepresentation
bin110101110101…
…0100010110000
31222002220120220
41223222202300
524211124124
62444533040
7461616510
oct153524260
958086526
1028223664
1114a27947
129551180
135b025c1
143a69840
152727879
hex1aea8b0

28223664 has 80 divisors (see below), whose sum is σ = 87732480. Its totient is φ = 7637760.

The previous prime is 28223659. The next prime is 28223687. The reversal of 28223664 is 46632282.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4174 + ... + 8594.

It is an arithmetic number, because the mean of its divisors is an integer number (1096656).

Almost surely, 228223664 is an apocalyptic number.

28223664 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 28223664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43866240).

28223664 is an abundant number, since it is smaller than the sum of its proper divisors (59508816).

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

28223664 is a wasteful number, since it uses less digits than its factorization.

28223664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4452 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 28223664 is about 5312.5948462122. The cubic root of 28223664 is about 304.4652962356.

The spelling of 28223664 in words is "twenty-eight million, two hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 4421 6384 8842 13263 17684 26526 30947 35368 53052 61894 70736 83999 92841 106104 123788 167998 185682 212208 247576 251997 335996 371364 495152 503994 587993 671992 742728 1007988 1175986 1343984 1485456 1763979 2015976 2351972 3527958 4031952 4703944 7055916 9407888 14111832 28223664