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28671024 = 2432943479
BaseRepresentation
bin110110101011…
…1110000110000
31222221122020210
41231113300300
524314433044
62502304120
7465461664
oct155276060
958848223
1028671024
1115202a68
129728040
135c2b105
143b448a4
1527b51b9
hex1b57c30

28671024 has 80 divisors (see below), whose sum is σ = 78566400. Its totient is φ = 8994048.

The previous prime is 28671023. The next prime is 28671031. The reversal of 28671024 is 42017682.

It is a junction number, because it is equal to n+sod(n) for n = 28670982 and 28671000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28671023) 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, 59617 + ... + 60095.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 228671024 is an apocalyptic number.

28671024 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 28671024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283200).

28671024 is an abundant number, since it is smaller than the sum of its proper divisors (49895376).

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

28671024 is a wasteful number, since it uses less digits than its factorization.

28671024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 28671024 is about 5354.5330328610. The cubic root of 28671024 is about 306.0655163232.

The spelling of 28671024 in words is "twenty-eight million, six hundred seventy-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 479 516 688 696 958 1032 1247 1392 1437 1916 2064 2494 2874 3741 3832 4988 5748 7482 7664 9976 11496 13891 14964 19952 20597 22992 27782 29928 41194 41673 55564 59856 61791 82388 83346 111128 123582 164776 166692 222256 247164 329552 333384 494328 597313 666768 988656 1194626 1791939 2389252 3583878 4778504 7167756 9557008 14335512 28671024