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2028572820 = 2232519358393
BaseRepresentation
bin111100011101001…
…1001000010010100
312020101010011202200
41320322121002110
513123303312240
6533143204500
7101161404321
oct17072310224
95211104680
102028572820
1195109286a
12487446730
1326436c861
141535b5b48
15bd158930
hex78e99094

2028572820 has 72 divisors (see below), whose sum is σ = 6185326056. Its totient is φ = 538140672.

The previous prime is 2028572789. The next prime is 2028572831. The reversal of 2028572820 is 282758202.

2028572820 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 572 + 82 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4112784 + 2024460036 = 2028^2 + 44994^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5544 + ... + 63936.

Almost surely, 22028572820 is an apocalyptic number.

2028572820 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 2028572820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092663028).

2028572820 is an abundant number, since it is smaller than the sum of its proper divisors (4156753236).

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

2028572820 is a wasteful number, since it uses less digits than its factorization.

2028572820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58601 (or 58596 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2028572820 is about 45039.6805050835. The cubic root of 2028572820 is about 1265.8926183414.

The spelling of 2028572820 in words is "two billion, twenty-eight million, five hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1737 1930 2316 2895 3474 3860 5790 6948 8685 11580 17370 34740 58393 116786 175179 233572 291965 350358 525537 583930 700716 875895 1051074 1167860 1751790 2102148 2627685 3503580 5255370 10510740 11269849 22539698 33809547 45079396 56349245 67619094 101428641 112698490 135238188 169047735 202857282 225396980 338095470 405714564 507143205 676190940 1014286410 2028572820