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28011624 = 23319471307
BaseRepresentation
bin110101011011…
…0110001101000
31221201010201120
41222312301220
524132332444
62440215240
7460044354
oct152666150
957633646
1028011624
11148a2603
12946a520
135a59c34
143a12464
1526d4b19
hex1ab6c68

28011624 has 64 divisors (see below), whose sum is σ = 75340800. Its totient is φ = 8650944.

The previous prime is 28011611. The next prime is 28011629. The reversal of 28011624 is 42611082.

It is a super-4 number, since 4×280116244 (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 28011594 and 28011603.

It is not an unprimeable number, because it can be changed into a prime (28011629) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20779 + ... + 22085.

It is an arithmetic number, because the mean of its divisors is an integer number (1177200).

Almost surely, 228011624 is an apocalyptic number.

28011624 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 28011624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37670400).

28011624 is an abundant number, since it is smaller than the sum of its proper divisors (47329176).

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

28011624 is a wasteful number, since it uses less digits than its factorization.

28011624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28011624 is about 5292.6008729168. The cubic root of 28011624 is about 303.7009119814.

The spelling of 28011624 in words is "twenty-eight million, eleven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 564 893 1128 1307 1786 2614 2679 3572 3921 5228 5358 7144 7842 10456 10716 15684 21432 24833 31368 49666 61429 74499 99332 122858 148998 184287 198664 245716 297996 368574 491432 595992 737148 1167151 1474296 2334302 3501453 4668604 7002906 9337208 14005812 28011624