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2028007888 = 242337473169
BaseRepresentation
bin111100011100000…
…1111000111010000
312020100001110211021
41320320033013100
513123132223023
6533123125224
7101153532304
oct17070170720
95210043737
102028007888
11950837385
12487213814
1326420268a
141534a9d04
15bd09635d
hex78e0f1d0

2028007888 has 80 divisors (see below), whose sum is σ = 4301867520. Its totient is φ = 923332608.

The previous prime is 2028007871. The next prime is 2028007889. The reversal of 2028007888 is 8887008202.

It is a happy number.

It is a super-2 number, since 2×20280078882 = 8225631987580441088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028007889) 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, 638368 + ... + 641536.

It is an arithmetic number, because the mean of its divisors is an integer number (53773344).

Almost surely, 22028007888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028007888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150933760).

2028007888 is an abundant number, since it is smaller than the sum of its proper divisors (2273859632).

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

2028007888 is a wasteful number, since it uses less digits than its factorization.

2028007888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 43.

The square root of 2028007888 is about 45033.4085763003. The cubic root of 2028007888 is about 1265.7750957104.

The spelling of 2028007888 in words is "two billion, twenty-eight million, seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 23 37 46 47 74 92 94 148 184 188 296 368 376 592 752 851 1081 1702 1739 2162 3169 3404 3478 4324 6338 6808 6956 8648 12676 13616 13912 17296 25352 27824 39997 50704 72887 79994 117253 145774 148943 159988 234506 291548 297886 319976 469012 583096 595772 639952 938024 1166192 1191544 1876048 2383088 2696819 3425689 5393638 5510891 6851378 10787276 11021782 13702756 21574552 22043564 27405512 43149104 44087128 54811024 88174256 126750493 253500986 507001972 1014003944 2028007888