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2028837888 = 21033711953
BaseRepresentation
bin111100011101101…
…1001110000000000
312020101121122101000
41320323121300000
513123340303023
6533153012000
7101163560160
oct17073316000
95211548330
102028837888
11951253a30
12487554000
132644333bc
141536445a0
15bd1ac243
hex78ed9c00

2028837888 has 352 divisors, whose sum is σ = 7498897920. Its totient is φ = 526417920.

The previous prime is 2028837887. The next prime is 2028837893. The reversal of 2028837888 is 8887388202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028837887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128420 + ... + 2129372.

Almost surely, 22028837888 is an apocalyptic number.

2028837888 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 2028837888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749448960).

2028837888 is an abundant number, since it is smaller than the sum of its proper divisors (5470060032).

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

2028837888 is a wasteful number, since it uses less digits than its factorization.

2028837888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The square root of 2028837888 is about 45042.6230142073. The cubic root of 2028837888 is about 1265.9477528358.

The spelling of 2028837888 in words is "two billion, twenty-eight million, eight hundred thirty-seven thousand, eight hundred eighty-eight".