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28427124 = 22311316947
BaseRepresentation
bin110110001110…
…0001101110100
31222111020200110
41230130031310
524234131444
62453143020
7463424625
oct154341564
958436613
1028427124
11150567a0
12962aa70
135b740ab
143abda4c
152767cb9
hex1b1c374

28427124 has 48 divisors (see below), whose sum is σ = 74704896. Its totient is φ = 8335200.

The previous prime is 28427117. The next prime is 28427129. The reversal of 28427124 is 42172482.

It is a super-2 number, since 2×284271242 = 1616202757822752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28427091 and 28427100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28427129) 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, 619 + ... + 7565.

It is an arithmetic number, because the mean of its divisors is an integer number (1556352).

Almost surely, 228427124 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 28427124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37352448).

28427124 is an abundant number, since it is smaller than the sum of its proper divisors (46277772).

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

28427124 is a wasteful number, since it uses less digits than its factorization.

28427124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6994 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 28427124 is about 5331.7092944008. The cubic root of 28427124 is about 305.1951595189.

The spelling of 28427124 in words is "twenty-eight million, four hundred twenty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 6947 13894 20841 27788 41682 76417 83364 152834 215357 229251 305668 430714 458502 646071 861428 917004 1292142 2368927 2584284 4737854 7106781 9475708 14213562 28427124