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1028928096 = 253676301
BaseRepresentation
bin111101010101000…
…011001001100000
32122201002222000000
4331111003021200
54101401144341
6250033300000
734332513240
oct7525031140
92581088000
101028928096
114888919a9
12248704600
131352282c1
149a91bb20
15604e78b6
hex3d543260

1028928096 has 168 divisors, whose sum is σ = 3471595344. Its totient is φ = 293932800.

The previous prime is 1028928083. The next prime is 1028928097. The reversal of 1028928096 is 6908298201.

1028928096 is a `hidden beast` number, since 1 + 0 + 289 + 280 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028928097) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 160146 + ... + 166446.

It is an arithmetic number, because the mean of its divisors is an integer number (20664258).

Almost surely, 21028928096 is an apocalyptic number.

1028928096 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 1028928096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735797672).

1028928096 is an abundant number, since it is smaller than the sum of its proper divisors (2442667248).

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

1028928096 is an frugal number, since it uses more digits than its factorization.

1028928096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1028928096 is about 32076.9090780268. The cubic root of 1028928096 is about 1009.5511831316.

The spelling of 1028928096 in words is "one billion, twenty-eight million, nine hundred twenty-eight thousand, ninety-six".