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28483344 = 2432223887
BaseRepresentation
bin110110010100…
…1111100010000
31222121002210200
41230221330100
524242431334
62454255200
7464050551
oct154517420
958532720
1028483344
1115094a5a
129657500
135b93866
143ad6328
152779799
hex1b29f10

28483344 has 60 divisors (see below), whose sum is σ = 80161536. Its totient is φ = 9441216.

The previous prime is 28483339. The next prime is 28483349. The reversal of 28483344 is 44338482.

It is an interprime number because it is at equal distance from previous prime (28483339) and next prime (28483349).

It is a super-2 number, since 2×284833442 = 1622601770844672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 28483299 and 28483308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28483349) 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, 31669 + ... + 32555.

Almost surely, 228483344 is an apocalyptic number.

28483344 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 28483344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40080768).

28483344 is an abundant number, since it is smaller than the sum of its proper divisors (51678192).

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

28483344 is a wasteful number, since it uses less digits than its factorization.

28483344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 28483344 is about 5336.9789207004. The cubic root of 28483344 is about 305.3962206976.

The spelling of 28483344 in words is "twenty-eight million, four hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 887 892 1338 1774 1784 2007 2661 2676 3548 3568 4014 5322 5352 7096 7983 8028 10644 10704 14192 15966 16056 21288 31932 32112 42576 63864 127728 197801 395602 593403 791204 1186806 1582408 1780209 2373612 3164816 3560418 4747224 7120836 9494448 14241672 28483344