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2728806048 = 253271133451
BaseRepresentation
bin1010001010100110…
…0100011010100000
321001011201201011200
42202221210122200
521042033243143
61130435441200
7124423316523
oct24251443240
97034651150
102728806048
111180381411
12641a56200
13346461147
141bc5b0bba
1510e8751d3
hexa2a646a0

2728806048 has 72 divisors (see below), whose sum is σ = 7869397536. Its totient is φ = 896784000.

The previous prime is 2728805971. The next prime is 2728806053. The reversal of 2728806048 is 8406088272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2728805994 and 2728806012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46278 + ... + 87173.

It is an arithmetic number, because the mean of its divisors is an integer number (109297188).

Almost surely, 22728806048 is an apocalyptic number.

It is an amenable number.

2728806048 is an abundant number, since it is smaller than the sum of its proper divisors (5140591488).

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

2728806048 is a wasteful number, since it uses less digits than its factorization.

2728806048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133538 (or 133527 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2728806048 is about 52237.9751521822. The cubic root of 2728806048 is about 1397.4112104862.

The spelling of 2728806048 in words is "two billion, seven hundred twenty-eight million, eight hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 133451 266902 400353 533804 800706 1067608 1201059 1601412 2135216 2402118 3202824 4270432 4804236 6405648 9475021 9608472 12811296 18950042 19216944 28425063 37900084 38433888 56850126 75800168 85275189 113700252 151600336 170550378 227400504 303200672 341100756 454801008 682201512 909602016 1364403024 2728806048