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28408338 = 23272311039
BaseRepresentation
bin110110001011…
…1101000010010
31222110021220200
41230113220102
524233031323
62452520030
7463316100
oct154275022
958407820
1028408338
1115043672
129620016
135b6868a
143ab6c70
152762443
hex1b17a12

28408338 has 72 divisors (see below), whose sum is σ = 73981440. Its totient is φ = 7847280.

The previous prime is 28408333. The next prime is 28408349. The reversal of 28408338 is 83380482.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28408333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26823 + ... + 27861.

It is an arithmetic number, because the mean of its divisors is an integer number (1027520).

Almost surely, 228408338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28408338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36990720).

28408338 is an abundant number, since it is smaller than the sum of its proper divisors (45573102).

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

28408338 is a wasteful number, since it uses less digits than its factorization.

28408338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28408338 is about 5329.9472792890. The cubic root of 28408338 is about 305.1279155293.

The spelling of 28408338 in words is "twenty-eight million, four hundred eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1039 1302 1519 1953 2078 3038 3117 3906 4557 6234 7273 9114 9351 13671 14546 18702 21819 27342 32209 43638 50911 64418 65457 96627 101822 130914 152733 193254 225463 289881 305466 450926 458199 579762 676389 916398 1352778 1578241 2029167 3156482 4058334 4734723 9469446 14204169 28408338