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1028063232 = 21633783
BaseRepresentation
bin111101010001110…
…000000000000000
32122122111000122000
4331101300000000
54101141010412
6250002544000
734322251620
oct7521600000
92578430560
101028063232
11488351139
12248368000
13134cb4751
149a774880
15603c64dc
hex3d470000

1028063232 has 272 divisors, whose sum is σ = 3523188480. Its totient is φ = 290193408.

The previous prime is 1028063213. The next prime is 1028063237. The reversal of 1028063232 is 2323608201.

1028063232 is a `hidden beast` number, since 1 + 0 + 28 + 0 + 632 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1028063196 and 1028063205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028063237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12386263 + ... + 12386345.

Almost surely, 21028063232 is an apocalyptic number.

1028063232 is a gapful number since it is divisible by the number (12) 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 1028063232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761594240).

1028063232 is an abundant number, since it is smaller than the sum of its proper divisors (2495125248).

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

1028063232 is an frugal number, since it uses more digits than its factorization.

1028063232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1028063232 is about 32063.4251445475. The cubic root of 1028063232 is about 1009.2682449209.

The spelling of 1028063232 in words is "one billion, twenty-eight million, sixty-three thousand, two hundred thirty-two".