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2028928 = 27112131
BaseRepresentation
bin111101111010110000000
310211002011111
413233112000
51004411203
6111253104
723150146
oct7572600
93732144
102028928
111166400
1281a194
13560665
143ab596
152a126d
hex1ef580

2028928 has 48 divisors (see below), whose sum is σ = 4476780. Its totient is φ = 915200.

The previous prime is 2028907. The next prime is 2028931. The reversal of 2028928 is 8298202.

It is a self number, because there is not a number n which added to its sum of digits gives 2028928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15423 + ... + 15553.

22028928 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 2028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238390).

2028928 is an abundant number, since it is smaller than the sum of its proper divisors (2447852).

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

2028928 is a wasteful number, since it uses less digits than its factorization.

2028928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2028928 is about 1424.4044369490. The cubic root of 2028928 is about 126.5966495157.

The spelling of 2028928 in words is "two million, twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 131 176 242 262 352 484 524 704 968 1048 1408 1441 1936 2096 2882 3872 4192 5764 7744 8384 11528 15488 15851 16768 23056 31702 46112 63404 92224 126808 184448 253616 507232 1014464 2028928