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28995408 = 2434131721
BaseRepresentation
bin110111010011…
…0111101010000
32000120010020000
41232212331100
524410323113
62513250000
7501312501
oct156467520
960503200
1028995408
1115404752
129863900
136012960
143bcaba8
15282b373
hex1ba6f50

28995408 has 100 divisors (see below), whose sum is σ = 90429108. Its totient is φ = 8916480.

The previous prime is 28995403. The next prime is 28995413. The reversal of 28995408 is 80459982.

It is an interprime number because it is at equal distance from previous prime (28995403) and next prime (28995413).

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 16548624 = 3528^2 + 4068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28995401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15988 + ... + 17708.

Almost surely, 228995408 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 28995408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45214554).

28995408 is an abundant number, since it is smaller than the sum of its proper divisors (61433700).

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

28995408 is a wasteful number, since it uses less digits than its factorization.

28995408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 28995408 is about 5384.7384337589. The cubic root of 28995408 is about 307.2154655300.

It can be divided in two parts, 28995 and 408, that added together give a triangular number (29403 = T242).

The spelling of 28995408 in words is "twenty-eight million, nine hundred ninety-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1721 1872 2106 2808 3442 4212 5163 5616 6884 8424 10326 13768 15489 16848 20652 22373 27536 30978 41304 44746 46467 61956 67119 82608 89492 92934 123912 134238 139401 178984 185868 201357 247824 268476 278802 357968 371736 402714 536952 557604 604071 743472 805428 1073904 1115208 1208142 1610856 1812213 2230416 2416284 3221712 3624426 4832568 7248852 9665136 14497704 28995408