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1028928 = 26323233
BaseRepresentation
bin11111011001101000000
31221021102110
43323031000
5230411203
634015320
711513535
oct3731500
91837373
101028928
1164305a
12417540
132a0444
141cad8c
15154d03
hexfb340

1028928 has 56 divisors (see below), whose sum is σ = 2852928. Its totient is φ = 326656.

The previous prime is 1028903. The next prime is 1028939. The reversal of 1028928 is 8298201.

1028928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1028895 and 1028904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4300 + ... + 4532.

21028928 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 1028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426464).

1028928 is an abundant number, since it is smaller than the sum of its proper divisors (1824000).

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

1028928 is a wasteful number, since it uses less digits than its factorization.

1028928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1028928 is about 1014.3608825265. The cubic root of 1028928 is about 100.9551151734.

The spelling of 1028928 in words is "one million, twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 233 276 368 466 552 699 736 932 1104 1398 1472 1864 2208 2796 3728 4416 5359 5592 7456 10718 11184 14912 16077 21436 22368 32154 42872 44736 64308 85744 128616 171488 257232 342976 514464 1028928