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28382016 = 2631383137
BaseRepresentation
bin110110001000…
…1001101000000
31222101221210210
41230101031000
524231211031
62452154120
7463146255
oct154211500
958357723
1028382016
1115025913
129608940
135b596c0
143aab42c
152759746
hex1b11340

28382016 has 112 divisors (see below), whose sum is σ = 82442304. Its totient is φ = 8564736.

The previous prime is 28381973. The next prime is 28382017. The reversal of 28382016 is 61028382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28382017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207100 + ... + 207236.

It is an arithmetic number, because the mean of its divisors is an integer number (736092).

Almost surely, 228382016 is an apocalyptic number.

28382016 is a gapful number since it is divisible by the number (26) 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 28382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41221152).

28382016 is an abundant number, since it is smaller than the sum of its proper divisors (54060288).

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

28382016 is a wasteful number, since it uses less digits than its factorization.

28382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 28382016 is about 5327.4774518528. The cubic root of 28382016 is about 305.0336467404.

The spelling of 28382016 in words is "twenty-eight million, three hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 137 156 166 192 208 249 274 312 332 411 416 498 548 624 664 822 832 996 1079 1096 1248 1328 1644 1781 1992 2158 2192 2496 2656 3237 3288 3562 3984 4316 4384 5312 5343 6474 6576 7124 7968 8632 8768 10686 11371 12948 13152 14248 15936 17264 21372 22742 25896 26304 28496 34113 34528 42744 45484 51792 56992 68226 69056 85488 90968 103584 113984 136452 147823 170976 181936 207168 272904 295646 341952 363872 443469 545808 591292 727744 886938 1091616 1182584 1773876 2183232 2365168 3547752 4730336 7095504 9460672 14191008 28382016