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28791906 = 231113231459
BaseRepresentation
bin110110111010…
…1010001100010
32000011210001220
41231311101202
524332320111
62505035510
7466504263
oct155652142
960153056
1028791906
1115285870
129785b96
135c71140
143b7696a
1527dae06
hex1b75462

28791906 has 64 divisors (see below), whose sum is σ = 70640640. Its totient is φ = 7698240.

The previous prime is 28791869. The next prime is 28791907. The reversal of 28791906 is 60919782.

It is a super-2 number, since 2×287919062 = 1657947702225672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28791907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19005 + ... + 20463.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 228791906 is an apocalyptic number.

28791906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28791906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320320).

28791906 is an abundant number, since it is smaller than the sum of its proper divisors (41848734).

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

28791906 is a wasteful number, since it uses less digits than its factorization.

28791906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 28791906 is about 5365.8089790823. The cubic root of 28791906 is about 306.4950549496.

The spelling of 28791906 in words is "twenty-eight million, seven hundred ninety-one thousand, nine hundred six".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 598 759 858 897 1459 1518 1794 2918 3289 4377 6578 8754 9867 16049 18967 19734 32098 33557 37934 48147 56901 67114 96294 100671 113802 201342 208637 369127 417274 436241 625911 738254 872482 1107381 1251822 1308723 2214762 2617446 4798651 9597302 14395953 28791906