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28417662990 = 23254014571723
BaseRepresentation
bin11010011101110100…
…110010000000001110
32201100110211212001200
4122131310302000032
5431144410203430
621015505050330
72024134102263
oct323564620016
981313755050
1028417662990
11110630368a2
1256110269a6
1328ab604b02
14153823126a
15b14c68460
hex69dd3200e

28417662990 has 96 divisors (see below), whose sum is σ = 74275340256. Its totient is φ = 7538227200.

The previous prime is 28417662979. The next prime is 28417662997. The reversal of 28417662990 is 9926671482.

28417662990 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 7 + 6 + 629 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28417662997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16492269 + ... + 16493991.

It is an arithmetic number, because the mean of its divisors is an integer number (773701461).

Almost surely, 228417662990 is an apocalyptic number.

28417662990 is an abundant number, since it is smaller than the sum of its proper divisors (45857677266).

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

28417662990 is a wasteful number, since it uses less digits than its factorization.

28417662990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 28417662990 in words is "twenty-eight billion, four hundred seventeen million, six hundred sixty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 401 457 802 914 1203 1371 1723 2005 2285 2406 2742 3446 3609 4010 4113 4570 5169 6015 6855 7218 8226 8615 10338 12030 13710 15507 17230 18045 20565 25845 31014 36090 41130 51690 77535 155070 183257 366514 549771 690923 787411 916285 1099542 1381846 1574822 1649313 1832570 2072769 2362233 2748855 3298626 3454615 3937055 4145538 4724466 5497710 6218307 6909230 7086699 7874110 8246565 10363845 11811165 12436614 14173398 16493130 20727690 23622330 31091535 35433495 62183070 70866990 315751811 631503622 947255433 1578759055 1894510866 2841766299 3157518110 4736277165 5683532598 9472554330 14208831495 28417662990