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28042848 = 253431349
BaseRepresentation
bin110101011111…
…0011001100000
31221202201120000
41222332121200
524134332343
62441020000
7460234401
oct152763140
957681500
1028042848
1114914009
129484600
135a6b202
143a1d9a8
1526dded3
hex1abe660

28042848 has 120 divisors (see below), whose sum is σ = 85377600. Its totient is φ = 9020160.

The previous prime is 28042823. The next prime is 28042849. The reversal of 28042848 is 84824082.

It is a super-2 number, since 2×280428482 = 1572802647902208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28042849) 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 19 ways as a sum of consecutive naturals, for example, 80178 + ... + 80526.

It is an arithmetic number, because the mean of its divisors is an integer number (711480).

Almost surely, 228042848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28042848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42688800).

28042848 is an abundant number, since it is smaller than the sum of its proper divisors (57334752).

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

28042848 is a wasteful number, since it uses less digits than its factorization.

28042848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 28042848 is about 5295.5498298099. The cubic root of 28042848 is about 303.8137132010.

The spelling of 28042848 in words is "twenty-eight million, forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 349 372 432 496 558 648 698 744 837 864 992 1047 1116 1296 1396 1488 1674 2094 2232 2511 2592 2792 2976 3141 3348 4188 4464 5022 5584 6282 6696 8376 8928 9423 10044 10819 11168 12564 13392 16752 18846 20088 21638 25128 26784 28269 32457 33504 37692 40176 43276 50256 56538 64914 75384 80352 86552 97371 100512 113076 129828 150768 173104 194742 226152 259656 292113 301536 346208 389484 452304 519312 584226 778968 876339 904608 1038624 1168452 1557936 1752678 2336904 3115872 3505356 4673808 7010712 9347616 14021424 28042848