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28364820 = 22351123907
BaseRepresentation
bin110110000110…
…1000000010100
31222101002012220
41230031000110
524230133240
62451542340
7463045161
oct154150024
958332186
1028364820
1115013a00
1295ba9b0
135b51923
143aa5068
1527545d0
hex1b0d014

28364820 has 72 divisors (see below), whose sum is σ = 87320352. Its totient is φ = 6874560.

The previous prime is 28364797. The next prime is 28364839. The reversal of 28364820 is 2846382.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 5307 + ... + 9213.

Almost surely, 228364820 is an apocalyptic number.

28364820 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 28364820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43660176).

28364820 is an abundant number, since it is smaller than the sum of its proper divisors (58955532).

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

28364820 is a wasteful number, since it uses less digits than its factorization.

28364820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 28364820 is about 5325.8633103000. The cubic root of 28364820 is about 304.9720300428.

The spelling of 28364820 in words is "twenty-eight million, three hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 3907 7260 7814 11721 15628 19535 23442 39070 42977 46884 58605 78140 85954 117210 128931 171908 214885 234420 257862 429770 472747 515724 644655 859540 945494 1289310 1418241 1890988 2363735 2578620 2836482 4727470 5672964 7091205 9454940 14182410 28364820