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28811430 = 2335176277
BaseRepresentation
bin110110111101…
…0000010100110
32000012202212000
41231322002212
524333431210
62505310130
7466615224
oct155720246
960182760
1028811430
11152994aa
129795346
135c79cab
143b7db14
1527e1ac0
hex1b7a0a6

28811430 has 64 divisors (see below), whose sum is σ = 81362880. Its totient is φ = 7229952.

The previous prime is 28811401. The next prime is 28811441. The reversal of 28811430 is 3411882.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28811394 and 28811403.

It is a congruent number.

It is an unprimeable number.

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, 1452 + ... + 7728.

It is an arithmetic number, because the mean of its divisors is an integer number (1271295).

Almost surely, 228811430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28811430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40681440).

28811430 is an abundant number, since it is smaller than the sum of its proper divisors (52551450).

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

28811430 is a wasteful number, since it uses less digits than its factorization.

28811430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28811430 is about 5367.6279677340. The cubic root of 28811430 is about 306.5643181349.

It can be divided in two parts, 28811 and 430, that added together give a square (29241 = 1712).

The spelling of 28811430 in words is "twenty-eight million, eight hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 6277 12554 18831 31385 37662 56493 62770 94155 106709 112986 169479 188310 213418 282465 320127 338958 533545 564930 640254 847395 960381 1067090 1600635 1694790 1920762 2881143 3201270 4801905 5762286 9603810 14405715 28811430