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28072566 = 2323761691
BaseRepresentation
bin110101100010…
…1101001110110
31221211020022200
41223011221312
524141310231
62441405330
7460420134
oct153055166
957736280
1028072566
1114934375
129499846
135a7b8b2
143a2a754
1526e7be6
hex1ac5a76

28072566 has 48 divisors (see below), whose sum is σ = 63583728. Its totient is φ = 8942400.

The previous prime is 28072549. The next prime is 28072567. The reversal of 28072566 is 66527082.

28072566 is a `hidden beast` number, since 28 + 0 + 72 + 566 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28072566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28072567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40281 + ... + 40971.

It is an arithmetic number, because the mean of its divisors is an integer number (1324661).

Almost surely, 228072566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28072566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31791864).

28072566 is an abundant number, since it is smaller than the sum of its proper divisors (35511162).

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

28072566 is a wasteful number, since it uses less digits than its factorization.

28072566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 28072566 is about 5298.3550277421. The cubic root of 28072566 is about 303.9209960329.

The spelling of 28072566 in words is "twenty-eight million, seventy-two thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 333 366 549 666 691 1098 1382 2073 2257 4146 4514 6219 6771 12438 13542 20313 25567 40626 42151 51134 76701 84302 126453 153402 230103 252906 379359 460206 758718 1559587 3119174 4678761 9357522 14036283 28072566