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28578090 = 23519181277
BaseRepresentation
bin110110100000…
…1000100101010
31222202220202210
41231001010222
524303444330
62500305550
7464624022
oct155010452
958686683
1028578090
111514a162
1296a22b6
135bc7a18
143b1ca82
1527978b0
hex1b4112a

28578090 has 64 divisors (see below), whose sum is σ = 72858240. Its totient is φ = 7153920.

The previous prime is 28578083. The next prime is 28578091. The reversal of 28578090 is 9087582.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28578091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103032 + ... + 103308.

It is an arithmetic number, because the mean of its divisors is an integer number (1138410).

Almost surely, 228578090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28578090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36429120).

28578090 is an abundant number, since it is smaller than the sum of its proper divisors (44280150).

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

28578090 is a wasteful number, since it uses less digits than its factorization.

28578090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487.

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 28578090 is about 5345.8479215182. The cubic root of 28578090 is about 305.7344657039.

The spelling of 28578090 in words is "twenty-eight million, five hundred seventy-eight thousand, ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 181 190 277 285 362 543 554 570 831 905 1086 1385 1662 1810 2715 2770 3439 4155 5263 5430 6878 8310 10317 10526 15789 17195 20634 26315 31578 34390 50137 51585 52630 78945 100274 103170 150411 157890 250685 300822 501370 752055 952603 1504110 1905206 2857809 4763015 5715618 9526030 14289045 28578090