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1028422080 = 263257139367
BaseRepresentation
bin111101010011000…
…111100111000000
32122200011020212200
4331103013213000
54101234001310
6250014353200
734325305050
oct7523074700
92580136780
101028422080
11488576804
122484bb800
131350abb9a
149a829560
15604479c0
hex3d4c79c0

1028422080 has 336 divisors, whose sum is σ = 4082856960. Its totient is φ = 232740864.

The previous prime is 1028422039. The next prime is 1028422091. The reversal of 1028422080 is 802248201.

1028422080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2802057 + ... + 2802423.

It is an arithmetic number, because the mean of its divisors is an integer number (12151360).

Almost surely, 21028422080 is an apocalyptic number.

1028422080 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 1028422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041428480).

1028422080 is an abundant number, since it is smaller than the sum of its proper divisors (3054434880).

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

1028422080 is a wasteful number, since it uses less digits than its factorization.

1028422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1028422080 is about 32069.0205650251. The cubic root of 1028422080 is about 1009.3856604484.

The spelling of 1028422080 in words is "one billion, twenty-eight million, four hundred twenty-two thousand, eighty".