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2828025792 = 26332835783
BaseRepresentation
bin1010100010010000…
…0011111111000000
321022002102121002000
42220210003333000
521242433311132
61144342224000
7130036552104
oct25044037700
97262377060
102828025792
11122138a6a9
1266b125000
13360b90757
141cb83b904
1511842387c
hexa8903fc0

2828025792 has 112 divisors (see below), whose sum is σ = 8344692480. Its totient is φ = 939181824.

The previous prime is 2828025749. The next prime is 2828025793. The reversal of 2828025792 is 2975208282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828025793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486133 + ... + 491915.

Almost surely, 22828025792 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 2828025792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172346240).

2828025792 is an abundant number, since it is smaller than the sum of its proper divisors (5516666688).

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

2828025792 is a wasteful number, since it uses less digits than its factorization.

2828025792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2828025792 is about 53179.1857026788. The cubic root of 2828025792 is about 1414.1466704181.

The spelling of 2828025792 in words is "two billion, eight hundred twenty-eight million, twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 283 288 432 566 576 849 864 1132 1698 1728 2264 2547 3396 4528 5094 5783 6792 7641 9056 10188 11566 13584 15282 17349 18112 20376 23132 27168 30564 34698 40752 46264 52047 54336 61128 69396 81504 92528 104094 122256 138792 156141 163008 185056 208188 244512 277584 312282 370112 416376 489024 555168 624564 832752 1110336 1249128 1636589 1665504 2498256 3273178 3331008 4909767 4996512 6546356 9819534 9993024 13092712 14729301 19639068 26185424 29458602 39278136 44187903 52370848 58917204 78556272 88375806 104741696 117834408 157112544 176751612 235668816 314225088 353503224 471337632 707006448 942675264 1414012896 2828025792