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28090476 = 2234181479
BaseRepresentation
bin110101100101…
…0000001101100
31221212010220000
41223022001230
524142343401
62442024300
7460523301
oct153120154
957763800
1028090476
1114946877
1294a8090
135a86aab
143a330a8
1526ed186
hex1aca06c

28090476 has 60 divisors (see below), whose sum is σ = 73993920. Its totient is φ = 9292320.

The previous prime is 28090471. The next prime is 28090501. The reversal of 28090476 is 67409082.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28090476.

It is not an unprimeable number, because it can be changed into a prime (28090471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58405 + ... + 58883.

It is an arithmetic number, because the mean of its divisors is an integer number (1233232).

Almost surely, 228090476 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 28090476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36996960).

28090476 is an abundant number, since it is smaller than the sum of its proper divisors (45903444).

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

28090476 is a wasteful number, since it uses less digits than its factorization.

28090476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28090476 is about 5300.0449054701. The cubic root of 28090476 is about 303.9856150857.

The spelling of 28090476 in words is "twenty-eight million, ninety thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 324 362 479 543 724 958 1086 1437 1629 1916 2172 2874 3258 4311 4887 5748 6516 8622 9774 12933 14661 17244 19548 25866 29322 38799 51732 58644 77598 86699 155196 173398 260097 346796 520194 780291 1040388 1560582 2340873 3121164 4681746 7022619 9363492 14045238 28090476