Search a number
-
+
28690976600 = 2352111319371427
BaseRepresentation
bin11010101110000111…
…011000111101011000
32202001112010121211222
4122232013120331120
5432224342222400
621102551111212
72033663164046
oct325607307530
982045117758
1028690976600
1111193343410
125688672508
13292311ac40
141562659396
15b2dc55185
hex6ae1d8f58

28690976600 has 384 divisors, whose sum is σ = 84782073600. Its totient is φ = 8870860800.

The previous prime is 28690976599. The next prime is 28690976603. The reversal of 28690976600 is 667909682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28690976603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20105087 + ... + 20106513.

It is an arithmetic number, because the mean of its divisors is an integer number (220786650).

Almost surely, 228690976600 is an apocalyptic number.

28690976600 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 28690976600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42391036800).

28690976600 is an abundant number, since it is smaller than the sum of its proper divisors (56091097000).

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

28690976600 is a wasteful number, since it uses less digits than its factorization.

28690976600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 28690976600 in words is "twenty-eight billion, six hundred ninety million, nine hundred seventy-six thousand, six hundred".