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2028285360 = 243452331439
BaseRepresentation
bin111100011100101…
…0010110110110000
312020100120120110000
41320321102312300
513123220112420
6533133110000
7101156066253
oct17071226660
95210516400
102028285360
11950a068a2
12487328300
1326429ba6a
1415353d09a
15bd0ed690
hex78e52db0

2028285360 has 400 divisors, whose sum is σ = 7605227520. Its totient is φ = 499530240.

The previous prime is 2028285349. The next prime is 2028285379. The reversal of 2028285360 is 635828202.

2028285360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20282853602 = 8227883003180659200, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 4620021 + ... + 4620459.

Almost surely, 22028285360 is an apocalyptic number.

2028285360 is a gapful number since it is divisible by the number (20) 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 2028285360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802613760).

2028285360 is an abundant number, since it is smaller than the sum of its proper divisors (5576942160).

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

2028285360 is a wasteful number, since it uses less digits than its factorization.

2028285360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2028285360 is about 45036.4892059761. The cubic root of 2028285360 is about 1265.8328208525.

The spelling of 2028285360 in words is "two billion, twenty-eight million, two hundred eighty-five thousand, three hundred sixty".