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2828198520 = 2332577011601
BaseRepresentation
bin1010100010010010…
…1110001001111000
321022002202101000100
42220210232021320
521243004323040
61144350035400
7130041201510
oct25044561170
97262671010
102828198520
111221498454
1266b1a8b60
13360c21264
141cb884840
15118459b30
hexa892e278

2828198520 has 192 divisors, whose sum is σ = 10526293440. Its totient is φ = 645120000.

The previous prime is 2828198419. The next prime is 2828198533. The reversal of 2828198520 is 258918282.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1765720 + ... + 1767320.

It is an arithmetic number, because the mean of its divisors is an integer number (54824445).

Almost surely, 22828198520 is an apocalyptic number.

2828198520 is a gapful number since it is divisible by the number (20) 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 2828198520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263146720).

2828198520 is an abundant number, since it is smaller than the sum of its proper divisors (7698094920).

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

2828198520 is a wasteful number, since it uses less digits than its factorization.

2828198520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2828198520 is about 53180.8096967318. The cubic root of 2828198520 is about 1414.1754605555.

The spelling of 2828198520 in words is "two billion, eight hundred twenty-eight million, one hundred ninety-eight thousand, five hundred twenty".