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2028697888 = 257231033823
BaseRepresentation
bin111100011101011…
…0111100100100000
312020101100112022211
41320322313210200
513123321313023
6533150011504
7101162435050
oct17072674440
95211315284
102028697888
11951168828
124874a6b94
132643b4769
14153609560
15bd180a0d
hex78eb7920

2028697888 has 96 divisors (see below), whose sum is σ = 4810530816. Its totient is φ = 823350528.

The previous prime is 2028697861. The next prime is 2028697921. The reversal of 2028697888 is 8887968202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528745 + ... + 532567.

It is an arithmetic number, because the mean of its divisors is an integer number (50109696).

Almost surely, 22028697888 is an apocalyptic number.

2028697888 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 2028697888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405265408).

2028697888 is an abundant number, since it is smaller than the sum of its proper divisors (2781832928).

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

2028697888 is a wasteful number, since it uses less digits than its factorization.

2028697888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 58.

The square root of 2028697888 is about 45041.0689038349. The cubic root of 2028697888 is about 1265.9186332492.

The spelling of 2028697888 in words is "two billion, twenty-eight million, six hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 103 112 161 184 206 224 322 368 412 644 721 736 824 1288 1442 1648 2369 2576 2884 3296 3823 4738 5152 5768 7646 9476 11536 15292 16583 18952 23072 26761 30584 33166 37904 53522 61168 66332 75808 87929 107044 122336 132664 175858 214088 265328 351716 393769 428176 530656 615503 703432 787538 856352 1231006 1406864 1575076 2462012 2756383 2813728 3150152 4924024 5512766 6300304 9056687 9848048 11025532 12600608 18113374 19696096 22051064 36226748 44102128 63396809 72453496 88204256 126793618 144906992 253587236 289813984 507174472 1014348944 2028697888