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28838208 = 263743499
BaseRepresentation
bin110111000000…
…0100101000000
32000021010120210
41232000211000
524340310313
62510034120
7500056260
oct156004500
960233523
1028838208
1115307633
1297a8940
135c89239
143b897a0
1527e99c3
hex1b80940

28838208 has 112 divisors (see below), whose sum is σ = 89408000. Its totient is φ = 8031744.

The previous prime is 28838189. The next prime is 28838221. The reversal of 28838208 is 80283882.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57543 + ... + 58041.

Almost surely, 228838208 is an apocalyptic number.

28838208 is a gapful number since it is divisible by the number (28) 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 28838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44704000).

28838208 is an abundant number, since it is smaller than the sum of its proper divisors (60569792).

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

28838208 is a wasteful number, since it uses less digits than its factorization.

28838208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 28838208 is about 5370.1217863285. The cubic root of 28838208 is about 306.6592646817.

The spelling of 28838208 in words is "twenty-eight million, eight hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 499 516 602 672 688 903 998 1032 1204 1344 1376 1497 1806 1996 2064 2408 2752 2994 3493 3612 3992 4128 4816 5988 6986 7224 7984 8256 9632 10479 11976 13972 14448 15968 19264 20958 21457 23952 27944 28896 31936 41916 42914 47904 55888 57792 64371 83832 85828 95808 111776 128742 150199 167664 171656 223552 257484 300398 335328 343312 450597 514968 600796 670656 686624 901194 1029936 1201592 1373248 1802388 2059872 2403184 3604776 4119744 4806368 7209552 9612736 14419104 28838208