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28939113225 = 325211210312
BaseRepresentation
bin11010111100111001…
…111101001100001001
32202200211001021022100
4122330321331030021
5433231403110400
621143333344013
72043065255331
oct327471751411
982624037270
1028939113225
1111300414100
125737798009
13296265a449
1415875ac0c1
15b4591c100
hex6bce7d309

28939113225 has 81 divisors (see below), whose sum is σ = 57028960807. Its totient is φ = 14017476000.

The previous prime is 28939113223. The next prime is 28939113233. The reversal of 28939113225 is 52231193982.

The square root of 28939113225 is 170115.

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

28939113225 is a `hidden beast` number, since 28 + 9 + 391 + 13 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10418080761 + 18521032464 = 102069^2 + 136092^2 .

It is not a de Polignac number, because 28939113225 - 21 = 28939113223 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28939113223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28068460 + ... + 28069490.

Almost surely, 228939113225 is an apocalyptic number.

28939113225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28939113225 is the 170115-th square number.

28939113225 is the 85058-th centered octagonal number.

It is an amenable number.

28939113225 is a deficient number, since it is larger than the sum of its proper divisors (28089847582).

28939113225 is a wasteful number, since it uses less digits than its factorization.

28939113225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 1050 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 28939113225 in words is "twenty-eight billion, nine hundred thirty-nine million, one hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1031 1089 1815 2475 3025 3093 5155 5445 9075 9279 11341 15465 25775 27225 34023 46395 56705 77325 102069 124751 170115 231975 283525 374253 510345 623755 850575 1062961 1122759 1871265 2551725 3118775 3188883 5314805 5613795 9356325 9566649 11692571 15944415 26574025 28068975 35077713 47833245 58462855 79722075 105233139 128618281 175388565 239166225 292314275 385854843 526165695 643091405 876942825 1157564529 1929274215 2630828475 3215457025 5787822645 9646371075 28939113225