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28842066 = 23211295023
BaseRepresentation
bin110111000000…
…1100001010010
32000021022212200
41232001201102
524340421231
62510104030
7500103441
oct156014122
960238780
1028842066
111530a520
1297ab016
135c8ac16
143b8ad58
1527eabe6
hex1b81852

28842066 has 48 divisors (see below), whose sum is σ = 70536960. Its totient is φ = 8436960.

The previous prime is 28842049. The next prime is 28842101. The reversal of 28842066 is 66024882.

It is a super-2 number, since 2×288420662 = 1663729542296712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28842066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3231 + ... + 8253.

It is an arithmetic number, because the mean of its divisors is an integer number (1469520).

Almost surely, 228842066 is an apocalyptic number.

28842066 is the 2871-st nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28842066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35268480).

28842066 is an abundant number, since it is smaller than the sum of its proper divisors (41694894).

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

28842066 is a wasteful number, since it uses less digits than its factorization.

28842066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28842066 is about 5370.4809840460. The cubic root of 28842066 is about 306.6729391177.

It can be divided in two parts, 2884 and 2066, that added together give a triangular number (4950 = T99).

The spelling of 28842066 in words is "twenty-eight million, eight hundred forty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5023 5742 10046 15069 30138 45207 55253 90414 110506 145667 165759 291334 331518 437001 497277 874002 994554 1311003 1602337 2622006 3204674 4807011 9614022 14421033 28842066