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28426896 = 2433232861
BaseRepresentation
bin110110001110…
…0001010010000
31222111020101000
41230130022100
524234130041
62453142000
7463424151
oct154341220
958436330
1028426896
1115056603
12962a900
135b73c64
143abd928
152767bb6
hex1b1c290

28426896 has 80 divisors (see below), whose sum is σ = 85173120. Its totient is φ = 9060480.

The previous prime is 28426889. The next prime is 28426897. The reversal of 28426896 is 69862482.

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

It is not an unprimeable number, because it can be changed into a prime (28426897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8506 + ... + 11366.

It is an arithmetic number, because the mean of its divisors is an integer number (1064664).

Almost surely, 228426896 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 28426896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42586560).

28426896 is an abundant number, since it is smaller than the sum of its proper divisors (56746224).

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

28426896 is a wasteful number, since it uses less digits than its factorization.

28426896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2889 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 28426896 is about 5331.6879128471. The cubic root of 28426896 is about 305.1943435766.

The spelling of 28426896 in words is "twenty-eight million, four hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 2861 3312 4968 5722 8583 9936 11444 17166 22888 25749 34332 45776 51498 65803 68664 77247 102996 131606 137328 154494 197409 205992 263212 308988 394818 411984 526424 592227 617976 789636 1052848 1184454 1235952 1579272 1776681 2368908 3158544 3553362 4737816 7106724 9475632 14213448 28426896