Search a number
-
+
28167408 = 2432434549
BaseRepresentation
bin110101101110…
…0110011110000
31222000001102100
41223130303300
524202324113
62443420400
7461263503
oct153346360
958001370
1028167408
1114999655
129524700
135ab2b09
143a5313a
152715d73
hex1adccf0

28167408 has 60 divisors (see below), whose sum is σ = 80680600. Its totient is φ = 9168768.

The previous prime is 28167383. The next prime is 28167427. The reversal of 28167408 is 80476182.

It is a super-3 number, since 3×281674083 (a number of 23 digits) contains 333 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3918 + ... + 8466.

Almost surely, 228167408 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 28167408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40340300).

28167408 is an abundant number, since it is smaller than the sum of its proper divisors (52513192).

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

28167408 is a wasteful number, since it uses less digits than its factorization.

28167408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28167408 is about 5307.2976174321. The cubic root of 28167408 is about 304.2628728096.

The spelling of 28167408 in words is "twenty-eight million, one hundred sixty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 4549 6192 9098 13647 18196 27294 36392 40941 54588 72784 81882 109176 163764 195607 218352 327528 391214 586821 655056 782428 1173642 1564856 1760463 2347284 3129712 3520926 4694568 7041852 9389136 14083704 28167408