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28669320 = 2332597821
BaseRepresentation
bin110110101011…
…1010110001000
31222221112220200
41231113112020
524314404240
62502252200
7465454011
oct155272610
958845820
1028669320
1115201759
129727060
135c2a3c4
143b44008
1527b4930
hex1b57588

28669320 has 96 divisors (see below), whose sum is σ = 94250520. Its totient is φ = 7557120.

The previous prime is 28669297. The next prime is 28669331. The reversal of 28669320 is 2396682.

It can be written as a sum of positive squares in 4 ways, for example, as 19342404 + 9326916 = 4398^2 + 3054^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34510 + ... + 35330.

Almost surely, 228669320 is an apocalyptic number.

28669320 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 28669320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47125260).

28669320 is an abundant number, since it is smaller than the sum of its proper divisors (65581200).

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

28669320 is a wasteful number, since it uses less digits than its factorization.

28669320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 28669320 is about 5354.3739129799. The cubic root of 28669320 is about 306.0594527568.

The spelling of 28669320 in words is "twenty-eight million, six hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 821 873 970 1164 1455 1642 1746 1940 2328 2463 2910 3284 3492 3880 4105 4365 4926 5820 6568 6984 7389 8210 8730 9852 11640 12315 14778 16420 17460 19704 24630 29556 32840 34920 36945 49260 59112 73890 79637 98520 147780 159274 238911 295560 318548 398185 477822 637096 716733 796370 955644 1194555 1433466 1592740 1911288 2389110 2866932 3185480 3583665 4778220 5733864 7167330 9556440 14334660 28669320