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28124628 = 223736833
BaseRepresentation
bin110101101001…
…0010111010100
31221220212201220
41223102113110
524144442003
62442450340
7461025000
oct153222724
957825656
1028124628
111496a4a4
1295039b0
135a994bc
143a41700
152708353
hex1ad25d4

28124628 has 48 divisors (see below), whose sum is σ = 76540800. Its totient is φ = 8034432.

The previous prime is 28124627. The next prime is 28124687. The reversal of 28124628 is 82642182.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28124627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700 + ... + 7532.

It is an arithmetic number, because the mean of its divisors is an integer number (1594600).

Almost surely, 228124628 is an apocalyptic number.

28124628 is a gapful number since it is divisible by the number (28) 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 28124628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38270400).

28124628 is an abundant number, since it is smaller than the sum of its proper divisors (48416172).

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

28124628 is a wasteful number, since it uses less digits than its factorization.

28124628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6845 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 28124628 is about 5303.2657862868. The cubic root of 28124628 is about 304.1087589851.

The spelling of 28124628 in words is "twenty-eight million, one hundred twenty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 6833 13666 20499 27332 40998 47831 81996 95662 143493 191324 286986 334817 573972 669634 1004451 1339268 2008902 2343719 4017804 4687438 7031157 9374876 14062314 28124628