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2728114400 = 255211228183
BaseRepresentation
bin1010001010011011…
…1011100011100000
321001010102120102002
42202212323203200
521041344130100
61130412543132
7124414406204
oct24246734340
97033376362
102728114400
11117aa49800
12641781aa8
1334627b39b
141bc470b04
1510e78a2d5
hexa29bb8e0

2728114400 has 108 divisors (see below), whose sum is σ = 7320765816. Its totient is φ = 992006400.

The previous prime is 2728114399. The next prime is 2728114409. The reversal of 2728114400 is 44118272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728114409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82709 + ... + 110891.

Almost surely, 22728114400 is an apocalyptic number.

2728114400 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 2728114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660382908).

2728114400 is an abundant number, since it is smaller than the sum of its proper divisors (4592651416).

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

2728114400 is a wasteful number, since it uses less digits than its factorization.

2728114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28225 (or 28201 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2728114400 is about 52231.3545679221. The cubic root of 2728114400 is about 1397.2931370722.

The spelling of 2728114400 in words is "two billion, seven hundred twenty-eight million, one hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 160 176 200 220 242 275 352 400 440 484 550 605 800 880 968 1100 1210 1760 1936 2200 2420 3025 3872 4400 4840 6050 8800 9680 12100 19360 24200 28183 48400 56366 96800 112732 140915 225464 281830 310013 450928 563660 620026 704575 901856 1127320 1240052 1409150 1550065 2254640 2480104 2818300 3100130 3410143 4509280 4960208 5636600 6200260 6820286 7750325 9920416 11273200 12400520 13640572 15500650 17050715 22546400 24801040 27281144 31001300 34101430 49602080 54562288 62002600 68202860 85253575 109124576 124005200 136405720 170507150 248010400 272811440 341014300 545622880 682028600 1364057200 2728114400