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2728499040 = 25335631597
BaseRepresentation
bin1010001010100001…
…1001011101100000
321001011011010001000
42202220121131200
521041443432130
61130425112000
7124420600461
oct24250313540
97034133030
102728499040
111180191793
12641928600
13346384497
141bc530d68
1510e814260
hexa2a19760

2728499040 has 96 divisors (see below), whose sum is σ = 9549761760. Its totient is φ = 727598592.

The previous prime is 2728499021. The next prime is 2728499051. The reversal of 2728499040 is 409948272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×27284990402 = 14889414022561843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 15 ways as a sum of consecutive naturals, for example, 311479 + ... + 320118.

It is an arithmetic number, because the mean of its divisors is an integer number (99476685).

Almost surely, 22728499040 is an apocalyptic number.

2728499040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728499040 is an abundant number, since it is smaller than the sum of its proper divisors (6821262720).

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

2728499040 is a wasteful number, since it uses less digits than its factorization.

2728499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631621 (or 631607 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2728499040 is about 52235.0365176478. The cubic root of 2728499040 is about 1397.3588026439.

The spelling of 2728499040 in words is "two billion, seven hundred twenty-eight million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 631597 1263194 1894791 2526388 3157985 3789582 5052776 5684373 6315970 7579164 9473955 10105552 11368746 12631940 15158328 17053119 18947910 20211104 22737492 25263880 28421865 30316656 34106238 37895820 45474984 50527760 56843730 60633312 68212476 75791640 85265595 90949968 101055520 113687460 136424952 151583280 170531190 181899936 227374920 272849904 303166560 341062380 454749840 545699808 682124760 909499680 1364249520 2728499040