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28362264 = 2337792137
BaseRepresentation
bin110110000110…
…0011000011000
31222100221201020
41230030120120
524230043024
62451522440
7463034550
oct154143030
958327636
1028362264
1115011a97
1295b9420
135b50708
143aa4160
152753979
hex1b0c618

28362264 has 64 divisors (see below), whose sum is σ = 82099200. Its totient is φ = 7997184.

The previous prime is 28362259. The next prime is 28362277. The reversal of 28362264 is 46226382.

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, 12204 + ... + 14340.

It is an arithmetic number, because the mean of its divisors is an integer number (1282800).

Almost surely, 228362264 is an apocalyptic number.

28362264 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 28362264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41049600).

28362264 is an abundant number, since it is smaller than the sum of its proper divisors (53736936).

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

28362264 is a wasteful number, since it uses less digits than its factorization.

28362264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2228 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 28362264 is about 5325.6233437974. The cubic root of 28362264 is about 304.9628692593.

The spelling of 28362264 in words is "twenty-eight million, three hundred sixty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2137 2212 3318 4274 4424 6411 6636 8548 12822 13272 14959 17096 25644 29918 44877 51288 59836 89754 119672 168823 179508 337646 359016 506469 675292 1012938 1181761 1350584 2025876 2363522 3545283 4051752 4727044 7090566 9454088 14181132 28362264