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28132944 = 2437101829
BaseRepresentation
bin110101101010…
…0011001010000
31221221022010220
41223110121100
524200223234
62442553040
7461061150
oct153243120
957838126
1028132944
1114975774
129508780
135aa0218
143a44760
15270aa49
hex1ad4650

28132944 has 80 divisors (see below), whose sum is σ = 83982720. Its totient is φ = 7948800.

The previous prime is 28132919. The next prime is 28132967. The reversal of 28132944 is 44923182.

28132944 = 6372 + 6382 + ... + 6992.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 33522 + ... + 34350.

It is an arithmetic number, because the mean of its divisors is an integer number (1049784).

Almost surely, 228132944 is an apocalyptic number.

28132944 is a gapful number since it is divisible by the number (24) 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 28132944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41991360).

28132944 is an abundant number, since it is smaller than the sum of its proper divisors (55849776).

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

28132944 is a wasteful number, since it uses less digits than its factorization.

28132944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 28132944 is about 5304.0497735221. The cubic root of 28132944 is about 304.1387293871.

The spelling of 28132944 in words is "twenty-eight million, one hundred thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 829 1212 1414 1616 1658 2121 2424 2487 2828 3316 4242 4848 4974 5656 5803 6632 8484 9948 11312 11606 13264 16968 17409 19896 23212 33936 34818 39792 46424 69636 83729 92848 139272 167458 251187 278544 334916 502374 586103 669832 1004748 1172206 1339664 1758309 2009496 2344412 3516618 4018992 4688824 7033236 9377648 14066472 28132944