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28677729025 = 5211230792
BaseRepresentation
bin11010101101010100…
…110110101100000001
32202000121012120121001
4122231110312230001
5432212444312100
621101355132001
72033442450301
oct325524665401
982017176531
1028677729025
1111186915300
125684144001
13292046013a
1415609ab601
15b2c9d9d6a
hex6ad536b01

28677729025 has 27 divisors (see below), whose sum is σ = 39099732483. Its totient is φ = 20849756400.

The previous prime is 28677728971. The next prime is 28677729043. The reversal of 28677729025 is 52092777682.

It is a happy number.

The square root of 28677729025 is 169345.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10323982449 + 18353746576 = 101607^2 + 135476^2 .

It is not a de Polignac number, because 28677729025 - 213 = 28677720833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9312436 + ... + 9315514.

Almost surely, 228677729025 is an apocalyptic number.

28677729025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28677729025 is the 169345-th square number.

28677729025 is the 84673-rd centered octagonal number.

It is an amenable number.

28677729025 is a deficient number, since it is larger than the sum of its proper divisors (10422003458).

28677729025 is an frugal number, since it uses more digits than its factorization.

28677729025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 28677729025 in words is "twenty-eight billion, six hundred seventy-seven million, seven hundred twenty-nine thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 3079 15395 33869 76975 169345 372559 846725 1862795 9313975 9480241 47401205 104282651 237006025 521413255 1147109161 2607066275 5735545805 28677729025