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28362288 = 24319137227
BaseRepresentation
bin110110000110…
…0011000110000
31222100221202010
41230030120300
524230043123
62451522520
7463034613
oct154143060
958327663
1028362288
1115012009
1295b9440
135b50726
143aa417a
152753993
hex1b0c630

28362288 has 80 divisors (see below), whose sum is σ = 78030720. Its totient is φ = 8851968.

The previous prime is 28362277. The next prime is 28362293. The reversal of 28362288 is 88226382.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124831 + ... + 125057.

It is an arithmetic number, because the mean of its divisors is an integer number (975384).

Almost surely, 228362288 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 28362288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39015360).

28362288 is an abundant number, since it is smaller than the sum of its proper divisors (49668432).

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

28362288 is a wasteful number, since it uses less digits than its factorization.

28362288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 28362288 is about 5325.6255970543. The cubic root of 28362288 is about 304.9629552786.

The spelling of 28362288 in words is "twenty-eight million, three hundred sixty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 137 152 227 228 274 304 411 454 456 548 681 822 908 912 1096 1362 1644 1816 2192 2603 2724 3288 3632 4313 5206 5448 6576 7809 8626 10412 10896 12939 15618 17252 20824 25878 31099 31236 34504 41648 51756 62198 62472 69008 93297 103512 124396 124944 186594 207024 248792 373188 497584 590881 746376 1181762 1492752 1772643 2363524 3545286 4727048 7090572 9454096 14181144 28362288