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28838680 = 23513311789
BaseRepresentation
bin110111000000…
…0101100011000
32000021011020021
41232000230120
524340314210
62510040224
7500060533
oct156005430
960234207
1028838680
1115307a22
1297a9074
135c89510
143b89a1a
1527e9bda
hex1b80b18

28838680 has 64 divisors (see below), whose sum is σ = 72172800. Its totient is φ = 10298880.

The previous prime is 28838671. The next prime is 28838687. The reversal of 28838680 is 8683882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28838687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15226 + ... + 17014.

It is an arithmetic number, because the mean of its divisors is an integer number (1127700).

Almost surely, 228838680 is an apocalyptic number.

28838680 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 28838680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36086400).

28838680 is an abundant number, since it is smaller than the sum of its proper divisors (43334120).

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

28838680 is a wasteful number, since it uses less digits than its factorization.

28838680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 28838680 is about 5370.1657330105. The cubic root of 28838680 is about 306.6609377212.

The spelling of 28838680 in words is "twenty-eight million, eight hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 1789 2015 3224 3578 4030 7156 8060 8945 14312 16120 17890 23257 35780 46514 55459 71560 93028 110918 116285 186056 221836 232570 277295 443672 465140 554590 720967 930280 1109180 1441934 2218360 2883868 3604835 5767736 7209670 14419340 28838680