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28149804 = 223247127131
BaseRepresentation
bin110101101100…
…0100000101100
31221222011021100
41223120200230
524201243204
62443203100
7461161254
oct153304054
957864240
1028149804
1114987401
129516490
135aa7ab7
143a4a964
152710a39
hex1ad882c

28149804 has 72 divisors (see below), whose sum is σ = 73801728. Its totient is φ = 9041760.

The previous prime is 28149761. The next prime is 28149809. The reversal of 28149804 is 40894182.

It is a super-2 number, since 2×281498042 = 1584822930476832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (28149809) 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 23 ways as a sum of consecutive naturals, for example, 214819 + ... + 214949.

It is an arithmetic number, because the mean of its divisors is an integer number (1025024).

Almost surely, 228149804 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 28149804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36900864).

28149804 is an abundant number, since it is smaller than the sum of its proper divisors (45651924).

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

28149804 is a wasteful number, since it uses less digits than its factorization.

28149804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

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

The square root of 28149804 is about 5305.6388870710. The cubic root of 28149804 is about 304.1994737700.

The spelling of 28149804 in words is "twenty-eight million, one hundred forty-nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 127 131 141 188 254 262 282 381 393 423 508 524 564 762 786 846 1143 1179 1524 1572 1692 2286 2358 4572 4716 5969 6157 11938 12314 16637 17907 18471 23876 24628 33274 35814 36942 49911 53721 55413 66548 71628 73884 99822 107442 110826 149733 199644 214884 221652 299466 598932 781939 1563878 2345817 3127756 4691634 7037451 9383268 14074902 28149804