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2823200928 = 25329802781
BaseRepresentation
bin1010100001000110…
…1010000010100000
321021202100110121100
42220101222002200
521240214412203
61144050554400
7126650545332
oct25021520240
97252313540
102823200928
111219694709
12669598a00
1335cb915c2
141cad43452
15117cbdea3
hexa846a0a0

2823200928 has 36 divisors (see below), whose sum is σ = 8028478458. Its totient is φ = 941066880.

The previous prime is 2823200923. The next prime is 2823200929. The reversal of 2823200928 is 8290023282.

It can be written as a sum of positive squares in only one way, i.e., 1742895504 + 1080305424 = 41748^2 + 32868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×28232009282 = 15940926959720122368, which contains 22 as substring.

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 = 2823200892 and 2823200901.

It is not an unprimeable number, because it can be changed into a prime (2823200921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4901103 + ... + 4901678.

Almost surely, 22823200928 is an apocalyptic number.

It is an amenable number.

2823200928 is an abundant number, since it is smaller than the sum of its proper divisors (5205277530).

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

2823200928 is a wasteful number, since it uses less digits than its factorization.

2823200928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9802797 (or 9802786 counting only the distinct ones).

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

The square root of 2823200928 is about 53133.8021225660. The cubic root of 2823200928 is about 1413.3419925501.

The spelling of 2823200928 in words is "two billion, eight hundred twenty-three million, two hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9802781 19605562 29408343 39211124 58816686 78422248 88225029 117633372 156844496 176450058 235266744 313688992 352900116 470533488 705800232 941066976 1411600464 2823200928