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28611408 = 2437175009
BaseRepresentation
bin110110100100…
…1001101010000
31222211121110210
41231021031100
524311031113
62501124120
7465123120
oct155111520
958747423
1028611408
11151721a1
1296b9640
135c09c37
143b2ac80
1527a26c3
hex1b49350

28611408 has 80 divisors (see below), whose sum is σ = 89458560. Its totient is φ = 7692288.

The previous prime is 28611403. The next prime is 28611409. The reversal of 28611408 is 80411682.

It is a super-2 number, since 2×286114082 = 1637225335484928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28611403) 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 15 ways as a sum of consecutive naturals, for example, 3208 + ... + 8216.

It is an arithmetic number, because the mean of its divisors is an integer number (1118232).

Almost surely, 228611408 is an apocalyptic number.

28611408 is a gapful number since it is divisible by the number (28) 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 28611408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44729280).

28611408 is an abundant number, since it is smaller than the sum of its proper divisors (60847152).

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

28611408 is a wasteful number, since it uses less digits than its factorization.

28611408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 28611408 is about 5348.9632640354. The cubic root of 28611408 is about 305.8532339028.

The spelling of 28611408 in words is "twenty-eight million, six hundred eleven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5009 5712 10018 15027 20036 30054 35063 40072 60108 70126 80144 85153 105189 120216 140252 170306 210378 240432 255459 280504 340612 420756 510918 561008 596071 681224 841512 1021836 1192142 1362448 1683024 1788213 2043672 2384284 3576426 4087344 4768568 7152852 9537136 14305704 28611408