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28493003136 = 27313171941431
BaseRepresentation
bin11010100010010100…
…001011100110000000
32201112201121112022110
4122202110023212000
5431323202100021
621031155535320
72026040346663
oct324224134600
981481545273
1028493003136
11110a1614a84
1256322ba540
1328c10c3190
1415442436da
15b1b69b476
hex6a250b980

28493003136 has 512 divisors, whose sum is σ = 93274675200. Its totient is φ = 7608729600.

The previous prime is 28493003089. The next prime is 28493003173. The reversal of 28493003136 is 63130039482.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 28493003094 and 28493003103.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 66108841 + ... + 66109271.

It is an arithmetic number, because the mean of its divisors is an integer number (182177100).

Almost surely, 228493003136 is an apocalyptic number.

28493003136 is a gapful number since it is divisible by the number (26) 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 28493003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46637337600).

28493003136 is an abundant number, since it is smaller than the sum of its proper divisors (64781672064).

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

28493003136 is a wasteful number, since it uses less digits than its factorization.

28493003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 28493003136 in words is "twenty-eight billion, four hundred ninety-three million, three thousand, one hundred thirty-six".