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28676060 = 2257257797
BaseRepresentation
bin110110101100…
…0111111011100
31222221220011022
41231120333130
524320113220
62502343312
7465512450
oct155307734
958856138
1028676060
1115206826
12972ab38
135c304aa
143b46660
1527b6925
hex1b58fdc

28676060 has 48 divisors (see below), whose sum is σ = 69177024. Its totient is φ = 9781248.

The previous prime is 28676057. The next prime is 28676069. The reversal of 28676060 is 6067682.

28676060 = 20212 + 20222 + ... + 20272.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 28676060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28676069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35582 + ... + 36378.

It is an arithmetic number, because the mean of its divisors is an integer number (1441188).

Almost surely, 228676060 is an apocalyptic number.

28676060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28676060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34588512).

28676060 is an abundant number, since it is smaller than the sum of its proper divisors (40500964).

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

28676060 is a wasteful number, since it uses less digits than its factorization.

28676060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 28676060 is about 5355.0032679729. The cubic root of 28676060 is about 306.0834351775.

Subtracting from 28676060 its sum of digits (35), we obtain a square (28676025 = 53552).

The spelling of 28676060 in words is "twenty-eight million, six hundred seventy-six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 514 797 1028 1285 1594 1799 2570 3188 3598 3985 5140 5579 7196 7970 8995 11158 15940 17990 22316 27895 35980 55790 111580 204829 409658 819316 1024145 1433803 2048290 2867606 4096580 5735212 7169015 14338030 28676060