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2028634128 = 2432122311519
BaseRepresentation
bin111100011101010…
…1000000000010000
312020101020021212100
41320322220000100
513123312243003
6533144400400
7101162051133
oct17072500020
95211207770
102028634128
11951124934
12487476100
13264391731
141535d021a
15bd16bba3
hex78ea8010

2028634128 has 60 divisors (see below), whose sum is σ = 5682493440. Its totient is φ = 675599808.

The previous prime is 2028634093. The next prime is 2028634133. The reversal of 2028634128 is 8214368202.

2028634128 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 634 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2028634092 and 2028634101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170353 + ... + 181871.

It is an arithmetic number, because the mean of its divisors is an integer number (94708224).

Almost surely, 22028634128 is an apocalyptic number.

It is an amenable number.

2028634128 is an abundant number, since it is smaller than the sum of its proper divisors (3653859312).

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

2028634128 is a wasteful number, since it uses less digits than its factorization.

2028634128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12756 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2028634128 is about 45040.3610997958. The cubic root of 2028634128 is about 1265.9053709134.

The spelling of 2028634128 in words is "two billion, twenty-eight million, six hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1223 2446 3669 4892 7338 9784 11007 11519 14676 19568 22014 23038 29352 34557 44028 46076 58704 69114 88056 92152 103671 138228 176112 184304 207342 276456 414684 552912 829368 1658736 14087737 28175474 42263211 56350948 84526422 112701896 126789633 169052844 225403792 253579266 338105688 507158532 676211376 1014317064 2028634128