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28301632 = 261094057
BaseRepresentation
bin110101111110…
…1100101000000
31222020212112121
41223331211000
524221123012
62450334024
7462363022
oct153754500
958225477
1028301632
1114a80487
12958a314
135b2bc38
143a8a012
152740a07
hex1afd940

28301632 has 28 divisors (see below), whose sum is σ = 56690260. Its totient is φ = 14017536.

The previous prime is 28301627. The next prime is 28301639. The reversal of 28301632 is 23610382.

It can be written as a sum of positive squares in 2 ways, for example, as 17172736 + 11128896 = 4144^2 + 3336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28301597 and 28301606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28301639) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4948 + ... + 9004.

Almost surely, 228301632 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 28301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28345130).

28301632 is an abundant number, since it is smaller than the sum of its proper divisors (28388628).

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

28301632 is a wasteful number, since it uses less digits than its factorization.

28301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 28301632 is about 5319.9278190592. The cubic root of 28301632 is about 304.7454007184.

The spelling of 28301632 in words is "twenty-eight million, three hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 4057 6976 8114 16228 32456 64912 129824 259648 442213 884426 1768852 3537704 7075408 14150816 28301632