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28213344 = 2532163601
BaseRepresentation
bin110101110100…
…0000001100000
31222002101102200
41223220001200
524210311334
62444413200
7461544435
oct153500140
958071380
1028213344
1114a20115
129547200
135aca9b3
143a65b8c
152724799
hex1ae8060

28213344 has 72 divisors (see below), whose sum is σ = 80858232. Its totient is φ = 9331200.

The previous prime is 28213343. The next prime is 28213373. The reversal of 28213344 is 44331282.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28213343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46644 + ... + 47244.

It is an arithmetic number, because the mean of its divisors is an integer number (1123031).

Almost surely, 228213344 is an apocalyptic number.

28213344 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 28213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40429116).

28213344 is an abundant number, since it is smaller than the sum of its proper divisors (52644888).

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

28213344 is a wasteful number, since it uses less digits than its factorization.

28213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 769 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 28213344 is about 5311.6234806319. The cubic root of 28213344 is about 304.4281824044.

The spelling of 28213344 in words is "twenty-eight million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 601 652 978 1202 1304 1467 1803 1956 2404 2608 2934 3606 3912 4808 5216 5409 5868 7212 7824 9616 10818 11736 14424 15648 19232 21636 23472 28848 43272 46944 57696 86544 97963 173088 195926 293889 391852 587778 783704 881667 1175556 1567408 1763334 2351112 3134816 3526668 4702224 7053336 9404448 14106672 28213344