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1028609280 = 283553307
BaseRepresentation
bin111101010011110…
…101010100000000
32122200111202200000
4331103311110000
54101310444110
6250022400000
734330014606
oct7523652400
92580452600
101028609280
11488694416
12248590000
1313514615a
149a877876
15604831c0
hex3d4f5500

1028609280 has 216 divisors, whose sum is σ = 3691807392. Its totient is φ = 274212864.

The previous prime is 1028609269. The next prime is 1028609291. The reversal of 1028609280 is 829068201.

1028609280 is a `hidden beast` number, since 1 + 0 + 28 + 609 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1028609269) and next prime (1028609291).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309387 + ... + 312693.

Almost surely, 21028609280 is an apocalyptic number.

1028609280 is a gapful number since it is divisible by the number (10) 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 1028609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845903696).

1028609280 is an abundant number, since it is smaller than the sum of its proper divisors (2663198112).

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

1028609280 is an frugal number, since it uses more digits than its factorization.

1028609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1028609280 is about 32071.9391368841. The cubic root of 1028609280 is about 1009.4469016889.

The spelling of 1028609280 in words is "one billion, twenty-eight million, six hundred nine thousand, two hundred eighty".