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28460488400 = 24522512571103
BaseRepresentation
bin11010100000011000…
…001001011011010000
32201110110102121110222
4122200120021123100
5431241341112100
621024035012212
72025164105561
oct324030113320
981413377428
1028460488400
11110852271a3
12562343a068
1328b744a6a6
14153dbbc168
15b188c7485
hex6a06096d0

28460488400 has 120 divisors (see below), whose sum is σ = 68978335104. Its totient is φ = 11284480000.

The previous prime is 28460488387. The next prime is 28460488471. The reversal of 28460488400 is 488406482.

It is a happy number.

It is a congruent number.

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, 25802249 + ... + 25803351.

Almost surely, 228460488400 is an apocalyptic number.

28460488400 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 28460488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34489167552).

28460488400 is an abundant number, since it is smaller than the sum of its proper divisors (40517846704).

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

28460488400 is a wasteful number, since it uses less digits than its factorization.

28460488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The spelling of 28460488400 in words is "twenty-eight billion, four hundred sixty million, four hundred eighty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 251 257 400 502 514 1004 1028 1103 1255 1285 2008 2056 2206 2510 2570 4016 4112 4412 5020 5140 5515 6275 6425 8824 10040 10280 11030 12550 12850 17648 20080 20560 22060 25100 25700 27575 44120 50200 51400 55150 64507 88240 100400 102800 110300 129014 220600 258028 276853 283471 322535 441200 516056 553706 566942 645070 1032112 1107412 1133884 1290140 1384265 1417355 1612675 2214824 2267768 2580280 2768530 2834710 3225350 4429648 4535536 5160560 5537060 5669420 6450700 6921325 7086775 11074120 11338840 12901400 13842650 14173550 22148240 22677680 25802800 27685300 28347100 55370600 56694200 71151221 110741200 113388400 142302442 284604884 355756105 569209768 711512210 1138419536 1423024420 1778780525 2846048840 3557561050 5692097680 7115122100 14230244200 28460488400