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28576116 = 22321753881
BaseRepresentation
bin110110100000…
…0100101110100
31222202211001200
41231000211310
524303413431
62500252500
7464615202
oct155004564
958684050
1028576116
1115148728
1296a1130
135bc6b5a
143b1c072
152796ee6
hex1b40974

28576116 has 72 divisors (see below), whose sum is σ = 78014664. Its totient is φ = 8785920.

The previous prime is 28576111. The next prime is 28576127. The reversal of 28576116 is 61167582.

It can be written as a sum of positive squares in 4 ways, for example, as 6051600 + 22524516 = 2460^2 + 4746^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28576111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31996 + ... + 32876.

It is an arithmetic number, because the mean of its divisors is an integer number (1083537).

Almost surely, 228576116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28576116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39007332).

28576116 is an abundant number, since it is smaller than the sum of its proper divisors (49438548).

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

28576116 is a wasteful number, since it uses less digits than its factorization.

28576116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 956 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 28576116 is about 5345.6632890596. The cubic root of 28576116 is about 305.7274261183.

The spelling of 28576116 in words is "twenty-eight million, five hundred seventy-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 881 901 954 1762 1802 1908 2643 2703 3524 3604 5286 5406 7929 8109 10572 10812 14977 15858 16218 29954 31716 32436 44931 46693 59908 89862 93386 134793 140079 179724 186772 269586 280158 420237 539172 560316 793781 840474 1587562 1680948 2381343 3175124 4762686 7144029 9525372 14288058 28576116