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2828451220 = 2257237911119
BaseRepresentation
bin1010100010010110…
…1011110110010100
321022010020012122121
42220211223312110
521243040414340
61144355305324
7130043303320
oct25045536624
97263205577
102828451220
1112216502a1
1266b2ab244
13360cac29a
141cb90c980
151184a994a
hexa896bd94

2828451220 has 96 divisors (see below), whose sum is σ = 7173734400. Its totient is φ = 915767424.

The previous prime is 2828451179. The next prime is 2828451257. The reversal of 2828451220 is 221548282.

2828451220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 248821 + ... + 259939.

It is an arithmetic number, because the mean of its divisors is an integer number (74726400).

Almost surely, 22828451220 is an apocalyptic number.

2828451220 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 2828451220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586867200).

2828451220 is an abundant number, since it is smaller than the sum of its proper divisors (4345283180).

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

2828451220 is a wasteful number, since it uses less digits than its factorization.

2828451220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11237 (or 11235 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 2828451220 is about 53183.1855006825. The cubic root of 2828451220 is about 1414.2175782373.

The spelling of 2828451220 in words is "two billion, eight hundred twenty-eight million, four hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 79 92 115 140 158 161 230 316 322 395 460 553 644 790 805 1106 1580 1610 1817 2212 2765 3220 3634 5530 7268 9085 11060 11119 12719 18170 22238 25438 36340 44476 50876 55595 63595 77833 111190 127190 155666 222380 254380 255737 311332 389165 511474 778330 878401 1022948 1278685 1556660 1756802 1790159 2557370 3513604 3580318 4392005 5114740 6148807 7160636 8784010 8950795 12297614 17568020 17901590 20203223 24595228 30744035 35803180 40406446 61488070 80812892 101016115 122976140 141422561 202032230 282845122 404064460 565690244 707112805 1414225610 2828451220