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28921320 = 2333561439
BaseRepresentation
bin110111001010…
…0110111101000
32000102100121000
41232110313220
524400440240
62511515000
7500553501
oct156246750
960370530
1028921320
111536401a
129828a60
135cb800c
143babba8
152814430
hex1b94de8

28921320 has 128 divisors (see below), whose sum is σ = 98208000. Its totient is φ = 7568640.

The previous prime is 28921307. The next prime is 28921337. The reversal of 28921320 is 2312982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65661 + ... + 66099.

It is an arithmetic number, because the mean of its divisors is an integer number (767250).

Almost surely, 228921320 is an apocalyptic number.

28921320 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 28921320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104000).

28921320 is an abundant number, since it is smaller than the sum of its proper divisors (69286680).

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

28921320 is a wasteful number, since it uses less digits than its factorization.

28921320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28921320 is about 5377.8545908197. The cubic root of 28921320 is about 306.9535804644.

It can be divided in two parts, 28921 and 320, that added together give a square (29241 = 1712).

The spelling of 28921320 in words is "twenty-eight million, nine hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 90 108 120 122 135 180 183 216 244 270 305 360 366 439 488 540 549 610 732 878 915 1080 1098 1220 1317 1464 1647 1756 1830 2195 2196 2440 2634 2745 3294 3512 3660 3951 4390 4392 5268 5490 6585 6588 7320 7902 8235 8780 10536 10980 11853 13170 13176 15804 16470 17560 19755 21960 23706 26340 26779 31608 32940 39510 47412 52680 53558 59265 65880 79020 80337 94824 107116 118530 133895 158040 160674 214232 237060 241011 267790 321348 401685 474120 482022 535580 642696 723033 803370 964044 1071160 1205055 1446066 1606740 1928088 2410110 2892132 3213480 3615165 4820220 5784264 7230330 9640440 14460660 28921320