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2068028928 = 2933724371
BaseRepresentation
bin111101101000011…
…1001111000000000
312100010100202101000
41323100321320000
513213403411203
6541113012000
7102150645600
oct17320717000
95303322330
102068028928
11971391819
124986b4000
1326c5a5974
14158926c00
15c184e4a3
hex7b439e00

2068028928 has 480 divisors, whose sum is σ = 7389169920. Its totient is φ = 568995840.

The previous prime is 2068028927. The next prime is 2068028959. The reversal of 2068028928 is 8298208602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068028927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29127133 + ... + 29127203.

It is an arithmetic number, because the mean of its divisors is an integer number (15394104).

Almost surely, 22068028928 is an apocalyptic number.

2068028928 is a gapful number since it is divisible by the number (28) 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 2068028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694584960).

2068028928 is an abundant number, since it is smaller than the sum of its proper divisors (5321140992).

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

2068028928 is an equidigital number, since it uses as much as digits as its factorization.

2068028928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2068028928 is about 45475.5860654923. The cubic root of 2068028928 is about 1274.0472550197.

The spelling of 2068028928 in words is "two billion, sixty-eight million, twenty-eight thousand, nine hundred twenty-eight".