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1028956896 = 253211229527
BaseRepresentation
bin111101010101001…
…010001011100000
32122201011102111200
4331111022023200
54101403110041
6250034041200
734332663222
oct7525121340
92581142450
101028956896
11488901600
12248719200
13135238446
149a928412
15605011b6
hex3d54a2e0

1028956896 has 108 divisors (see below), whose sum is σ = 3216396456. Its totient is φ = 311794560.

The previous prime is 1028956871. The next prime is 1028956927. The reversal of 1028956896 is 6986598201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20085 + ... + 49611.

Almost surely, 21028956896 is an apocalyptic number.

1028956896 is a gapful number since it is divisible by the number (16) 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 1028956896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608198228).

1028956896 is an abundant number, since it is smaller than the sum of its proper divisors (2187439560).

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

1028956896 is a wasteful number, since it uses less digits than its factorization.

1028956896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29565 (or 29543 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1028956896 is about 32077.3579959447. The cubic root of 1028956896 is about 1009.5606022552.

The spelling of 1028956896 in words is "one billion, twenty-eight million, nine hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 29527 34848 59054 88581 118108 177162 236216 265743 324797 354324 472432 531486 649594 708648 944864 974391 1062972 1299188 1417296 1948782 2125944 2598376 2834592 2923173 3572767 3897564 4251888 5196752 5846346 7145534 7795128 8503776 10393504 10718301 11692692 14291068 15590256 21436602 23385384 28582136 31180512 32154903 42873204 46770768 57164272 64309806 85746408 93541536 114328544 128619612 171492816 257239224 342985632 514478448 1028956896