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28618224 = 243797547
BaseRepresentation
bin110110100101…
…0110111110000
31222211221211020
41231022313300
524311240344
62501215440
7465152025
oct155126760
958757736
1028618224
1115177328
129701580
135c1007b
143b2d54c
1527a4719
hex1b4adf0

28618224 has 40 divisors (see below), whose sum is σ = 74876160. Its totient is φ = 9417408.

The previous prime is 28618223. The next prime is 28618231. The reversal of 28618224 is 42281682.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28618223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 7565.

It is an arithmetic number, because the mean of its divisors is an integer number (1871904).

Almost surely, 228618224 is an apocalyptic number.

28618224 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 28618224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37438080).

28618224 is an abundant number, since it is smaller than the sum of its proper divisors (46257936).

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

28618224 is a wasteful number, since it uses less digits than its factorization.

28618224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7631 counting only the distinct ones).

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

The square root of 28618224 is about 5349.6003589053. The cubic root of 28618224 is about 305.8775194386.

The spelling of 28618224 in words is "twenty-eight million, six hundred eighteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 7547 15094 22641 30188 45282 60376 90564 120752 181128 362256 596213 1192426 1788639 2384852 3577278 4769704 7154556 9539408 14309112 28618224