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28634940 = 22325257619
BaseRepresentation
bin110110100111…
…0111100111100
31222212210202100
41231032330330
524312304230
62501425100
7465251535
oct155167474
958783670
1028634940
1115188944
12970b190
135c17869
143b3568c
1527a9660
hex1b4ef3c

28634940 has 72 divisors (see below), whose sum is σ = 87338160. Its totient is φ = 7593984.

The previous prime is 28634923. The next prime is 28634951. The reversal of 28634940 is 4943682.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28634895 and 28634904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45951 + ... + 46569.

It is an arithmetic number, because the mean of its divisors is an integer number (1213030).

Almost surely, 228634940 is an apocalyptic number.

28634940 is a gapful number since it is divisible by the number (20) 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 28634940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43669080).

28634940 is an abundant number, since it is smaller than the sum of its proper divisors (58703220).

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

28634940 is a wasteful number, since it uses less digits than its factorization.

28634940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28634940 is about 5351.1624905248. The cubic root of 28634940 is about 305.9370625398.

The spelling of 28634940 in words is "twenty-eight million, six hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 514 619 771 1028 1238 1285 1542 1857 2313 2476 2570 3084 3095 3714 3855 4626 5140 5571 6190 7428 7710 9252 9285 11142 11565 12380 15420 18570 22284 23130 27855 37140 46260 55710 111420 159083 318166 477249 636332 795415 954498 1431747 1590830 1908996 2386245 2863494 3181660 4772490 5726988 7158735 9544980 14317470 28634940