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28427544 = 2333373557
BaseRepresentation
bin110110001110…
…0010100011000
31222111021021000
41230130110120
524234140134
62453145000
7463426065
oct154342430
958437230
1028427544
1115057042
12962b160
135b74342
143abdc6c
152767e99
hex1b1c518

28427544 has 64 divisors (see below), whose sum is σ = 81122400. Its totient is φ = 9217152.

The previous prime is 28427543. The next prime is 28427573. The reversal of 28427544 is 44572482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28427499 and 28427508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28427543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6214 + ... + 9770.

Almost surely, 228427544 is an apocalyptic number.

28427544 is a gapful number since it is divisible by the number (24) 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 28427544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40561200).

28427544 is an abundant number, since it is smaller than the sum of its proper divisors (52694856).

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

28427544 is a wasteful number, since it uses less digits than its factorization.

28427544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3599 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 28427544 is about 5331.7486812490. The cubic root of 28427544 is about 305.1966625592.

The spelling of 28427544 in words is "twenty-eight million, four hundred twenty-seven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3557 3996 7114 7992 10671 14228 21342 28456 32013 42684 64026 85368 96039 128052 131609 192078 256104 263218 384156 394827 526436 768312 789654 1052872 1184481 1579308 2368962 3158616 3553443 4737924 7106886 9475848 14213772 28427544