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28829640 = 2335724903
BaseRepresentation
bin110110111111…
…0011111001000
32000020200211110
41231332133020
524340022030
62505530320
7500022300
oct155763710
960220743
1028829640
1115301154
1297a39a0
135c85378
143b86600
1527e71b0
hex1b7e7c8

28829640 has 96 divisors (see below), whose sum is σ = 100630080. Its totient is φ = 6588288.

The previous prime is 28829639. The next prime is 28829641. The reversal of 28829640 is 4692882.

It is an interprime number because it is at equal distance from previous prime (28829639) and next prime (28829641).

It is a super-2 number, since 2×288296402 = 1662296285059200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28829641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3429 + ... + 8331.

It is an arithmetic number, because the mean of its divisors is an integer number (1048230).

Almost surely, 228829640 is an apocalyptic number.

28829640 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 28829640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50315040).

28829640 is an abundant number, since it is smaller than the sum of its proper divisors (71800440).

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

28829640 is a wasteful number, since it uses less digits than its factorization.

28829640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 28829640 is about 5369.3239797948. The cubic root of 28829640 is about 306.6288915874.

The spelling of 28829640 in words is "twenty-eight million, eight hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 4903 5880 9806 14709 19612 24515 29418 34321 39224 49030 58836 68642 73545 98060 102963 117672 137284 147090 171605 196120 205926 240247 274568 294180 343210 411852 480494 514815 588360 686420 720741 823704 960988 1029630 1201235 1372840 1441482 1921976 2059260 2402470 2882964 3603705 4118520 4804940 5765928 7207410 9609880 14414820 28829640