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28836368 = 2411592777
BaseRepresentation
bin110111000000…
…0001000010000
32000021001001122
41232000020100
524340230433
62510021412
7500051021
oct156001020
960231048
1028836368
1115306210
1297a7868
135c88452
143b88c48
1527e9198
hex1b80210

28836368 has 40 divisors (see below), whose sum is σ = 62004960. Its totient is φ = 12880640.

The previous prime is 28836361. The next prime is 28836383. The reversal of 28836368 is 86363882.

It is a super-2 number, since 2×288363682 = 1663072238862848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (28836361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8996 + ... + 11772.

It is an arithmetic number, because the mean of its divisors is an integer number (1550124).

Almost surely, 228836368 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 28836368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31002480).

28836368 is an abundant number, since it is smaller than the sum of its proper divisors (33168592).

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

28836368 is a wasteful number, since it uses less digits than its factorization.

28836368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2849 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 28836368 is about 5369.9504653209. The cubic root of 28836368 is about 306.6527424890.

The spelling of 28836368 in words is "twenty-eight million, eight hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 236 472 649 944 1298 2596 2777 5192 5554 10384 11108 22216 30547 44432 61094 122188 163843 244376 327686 488752 655372 1310744 1802273 2621488 3604546 7209092 14418184 28836368