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2728918272 = 2835367043
BaseRepresentation
bin1010001010100111…
…1111110100000000
321001011221102010010
42202221333310000
521042100341042
61130442104520
7124424264643
oct24251776400
97034842103
102728918272
111180448763
12641aab140
133464a0252
141bc5dda5a
1510e89859c
hexa2a7fd00

2728918272 has 72 divisors (see below), whose sum is σ = 7400048544. Its totient is φ = 892463104.

The previous prime is 2728918259. The next prime is 2728918337. The reversal of 2728918272 is 2728198272.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7183 + ... + 74225.

It is an arithmetic number, because the mean of its divisors is an integer number (102778452).

Almost surely, 22728918272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700024272).

2728918272 is an abundant number, since it is smaller than the sum of its proper divisors (4671130272).

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

2728918272 is an equidigital number, since it uses as much as digits as its factorization.

2728918272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67115 (or 67101 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 2728918272 is about 52239.0493022222. The cubic root of 2728918272 is about 1397.4303667183.

The spelling of 2728918272 in words is "two billion, seven hundred twenty-eight million, nine hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 5088 6784 10176 13568 20352 40704 67043 134086 201129 268172 402258 536344 804516 1072688 1609032 2145376 3218064 3553279 4290752 6436128 7106558 8581504 10659837 12872256 14213116 17163008 21319674 25744512 28426232 42639348 51489024 56852464 85278696 113704928 170557392 227409856 341114784 454819712 682229568 909639424 1364459136 2728918272