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1028397888 = 26327283439
BaseRepresentation
bin111101010011000…
…001101101000000
32122200010000200200
4331103001231000
54101232213023
6250014045200
734325144400
oct7523015500
92580100620
101028397888
1148855a611
122484a9800
131350a0b7b
149a820800
1560440743
hex3d4c1b40

1028397888 has 252 divisors, whose sum is σ = 3478194720. Its totient is φ = 289626624.

The previous prime is 1028397883. The next prime is 1028397901. The reversal of 1028397888 is 8887938201.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028397883) 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 35 ways as a sum of consecutive naturals, for example, 2342373 + ... + 2342811.

It is an arithmetic number, because the mean of its divisors is an integer number (13802360).

Almost surely, 21028397888 is an apocalyptic number.

1028397888 is a gapful number since it is divisible by the number (18) 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 1028397888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739097360).

1028397888 is an abundant number, since it is smaller than the sum of its proper divisors (2449796832).

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

1028397888 is a wasteful number, since it uses less digits than its factorization.

1028397888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 1028397888 is about 32068.6433763575. The cubic root of 1028397888 is about 1009.3777456535.

The spelling of 1028397888 in words is "one billion, twenty-eight million, three hundred ninety-seven thousand, eight hundred eighty-eight".