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1028889088 = 299720717
BaseRepresentation
bin111101010100111…
…001101000000000
32122201000222111021
4331110321220000
54101343422323
6250032355224
734332261433
oct7524715000
92581028437
101028889088
11488865667
122486a5b14
13135213616
149a90b81a
15604db05d
hex3d539a00

1028889088 has 40 divisors (see below), whose sum is σ = 2077062372. Its totient is φ = 509116416.

The previous prime is 1028889073. The next prime is 1028889097. The reversal of 1028889088 is 8809888201.

It can be written as a sum of positive squares in 2 ways, for example, as 911556864 + 117332224 = 30192^2 + 10832^2 .

It is a super-2 number, since 2×10288890882 = 2117225510810943488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39306 + ... + 60022.

Almost surely, 21028889088 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 1028889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038531186).

1028889088 is an abundant number, since it is smaller than the sum of its proper divisors (1048173284).

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

1028889088 is an frugal number, since it uses more digits than its factorization.

1028889088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20832 (or 20816 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 52.

The square root of 1028889088 is about 32076.3010336292. The cubic root of 1028889088 is about 1009.5384251717.

The spelling of 1028889088 in words is "one billion, twenty-eight million, eight hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1552 3104 6208 12416 20717 24832 41434 49664 82868 165736 331472 662944 1325888 2009549 2651776 4019098 5303552 8038196 10607104 16076392 32152784 64305568 128611136 257222272 514444544 1028889088