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28961300 = 22521092657
BaseRepresentation
bin110111001111…
…0101000010100
32000111101102202
41232132220110
524403230200
62512424032
7501111164
oct156365024
960441382
1028961300
1115391065
129848018
136000284
143bbc5a4
1528211d5
hex1b9ea14

28961300 has 36 divisors (see below), whose sum is σ = 63446460. Its totient is φ = 11473920.

The previous prime is 28961291. The next prime is 28961323. The reversal of 28961300 is 316982.

It can be written as a sum of positive squares in 6 ways, for example, as 38416 + 28922884 = 196^2 + 5378^2 .

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 11 ways as a sum of consecutive naturals, for example, 9572 + ... + 12228.

Almost surely, 228961300 is an apocalyptic number.

28961300 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 28961300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31723230).

28961300 is an abundant number, since it is smaller than the sum of its proper divisors (34485160).

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

28961300 is a wasteful number, since it uses less digits than its factorization.

28961300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 28961300 is about 5381.5704027728. The cubic root of 28961300 is about 307.0949566033.

The spelling of 28961300 in words is "twenty-eight million, nine hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2657 2725 5314 5450 10628 10900 13285 26570 53140 66425 132850 265700 289613 579226 1158452 1448065 2896130 5792260 7240325 14480650 28961300