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28017880 = 23511371721
BaseRepresentation
bin110101011100…
…0010011011000
31221201110022021
41222320103120
524133033010
62440304224
7460101532
oct152702330
957643267
1028017880
11148a7280
129472074
135a5ca37
143a14852
1526d68da
hex1ab84d8

28017880 has 64 divisors (see below), whose sum is σ = 70670880. Its totient is φ = 9907200.

The previous prime is 28017863. The next prime is 28017889. The reversal of 28017880 is 8871082.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28017889) 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, 15420 + ... + 17140.

Almost surely, 228017880 is an apocalyptic number.

28017880 is a gapful number since it is divisible by the number (20) 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 28017880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35335440).

28017880 is an abundant number, since it is smaller than the sum of its proper divisors (42653000).

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

28017880 is a wasteful number, since it uses less digits than its factorization.

28017880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 28017880 is about 5293.1918536928. The cubic root of 28017880 is about 303.7235193995.

The spelling of 28017880 in words is "twenty-eight million, seventeen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 1721 2035 3256 3442 4070 6884 8140 8605 13768 16280 17210 18931 34420 37862 63677 68840 75724 94655 127354 151448 189310 254708 318385 378620 509416 636770 700447 757240 1273540 1400894 2547080 2801788 3502235 5603576 7004470 14008940 28017880