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2828029320 = 233257855637
BaseRepresentation
bin1010100010010000…
…0100110110001000
321022002102202220200
42220210010312020
521242433414240
61144342252200
7130036565304
oct25044046610
97262382820
102828029320
111221392316
1266b127060
13360b9223c
141cb83cd04
15118424930
hexa8904d88

2828029320 has 48 divisors (see below), whose sum is σ = 9191096460. Its totient is φ = 754141056.

The previous prime is 2828029319. The next prime is 2828029327. The reversal of 2828029320 is 239208282.

It can be written as a sum of positive squares in 2 ways, for example, as 2474664516 + 353364804 = 49746^2 + 18798^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2828029327) by changing a digit.

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, 3927459 + ... + 3928178.

Almost surely, 22828029320 is an apocalyptic number.

2828029320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828029320 is an abundant number, since it is smaller than the sum of its proper divisors (6363067140).

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

2828029320 is a wasteful number, since it uses less digits than its factorization.

2828029320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855654 (or 7855647 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2828029320 is about 53179.2188735412. The cubic root of 2828029320 is about 1414.1472584735.

It can be divided in two parts, 28280 and 29320, that added together give a square (57600 = 2402).

The spelling of 2828029320 in words is "two billion, eight hundred twenty-eight million, twenty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 7855637 15711274 23566911 31422548 39278185 47133822 62845096 70700733 78556370 94267644 117834555 141401466 157112740 188535288 235669110 282802932 314225480 353503665 471338220 565605864 707007330 942676440 1414014660 2828029320