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28827252 = 2234193461
BaseRepresentation
bin110110111110…
…1111001110100
32000020120120000
41231331321310
524334433002
62505511300
7500012316
oct155757164
960216500
1028827252
11152aa383
1297a2530
135c8425c
143b857b6
1527e661c
hex1b7de74

28827252 has 60 divisors (see below), whose sum is σ = 75914916. Its totient is φ = 9538560.

The previous prime is 28827251. The next prime is 28827263. The reversal of 28827252 is 25272882.

It can be written as a sum of positive squares in 2 ways, for example, as 8088336 + 20738916 = 2844^2 + 4554^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28827251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62302 + ... + 62762.

Almost surely, 228827252 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 28827252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37957458).

28827252 is an abundant number, since it is smaller than the sum of its proper divisors (47087664).

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

28827252 is a wasteful number, since it uses less digits than its factorization.

28827252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 28827252 is about 5369.1016008267. The cubic root of 28827252 is about 306.6204251848.

The spelling of 28827252 in words is "twenty-eight million, eight hundred twenty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 324 386 461 579 772 922 1158 1383 1737 1844 2316 2766 3474 4149 5211 5532 6948 8298 10422 12447 15633 16596 20844 24894 31266 37341 49788 62532 74682 88973 149364 177946 266919 355892 533838 800757 1067676 1601514 2402271 3203028 4804542 7206813 9609084 14413626 28827252