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1028371008 = 26371077151
BaseRepresentation
bin111101010010111…
…011001001000000
32122200001122211010
4331102323021000
54101230333013
6250013320520
734325003130
oct7522731100
92580048733
101028371008
114885413a5
12248496140
13135091872
149a814ac0
15604377c3
hex3d4bb240

1028371008 has 112 divisors (see below), whose sum is σ = 3139098624. Its totient is φ = 291033600.

The previous prime is 1028370989. The next prime is 1028371033. The reversal of 1028371008 is 8001738201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140233 + ... + 147383.

Almost surely, 21028371008 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 1028371008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569549312).

1028371008 is an abundant number, since it is smaller than the sum of its proper divisors (2110727616).

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

1028371008 is a wasteful number, since it uses less digits than its factorization.

1028371008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1028371008 is about 32068.2242726347. The cubic root of 1028371008 is about 1009.3689512914.

The spelling of 1028371008 in words is "one billion, twenty-eight million, three hundred seventy-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 168 192 214 224 321 336 428 448 642 672 749 856 1284 1344 1498 1712 2247 2568 2996 3424 4494 5136 5992 6848 7151 8988 10272 11984 14302 17976 20544 21453 23968 28604 35952 42906 47936 50057 57208 71904 85812 100114 114416 143808 150171 171624 200228 228832 300342 343248 400456 457664 600684 686496 765157 800912 1201368 1372992 1530314 1601824 2295471 2402736 3060628 3203648 4590942 4805472 5356099 6121256 9181884 9610944 10712198 12242512 16068297 18363768 21424396 24485024 32136594 36727536 42848792 48970048 64273188 73455072 85697584 128546376 146910144 171395168 257092752 342790336 514185504 1028371008