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28098720 = 25325131979
BaseRepresentation
bin110101100110…
…0000010100000
31221212120012100
41223030002200
524143124340
62442130400
7460556316
oct153140240
957776170
1028098720
1114951a91
1294b0a00
135a8a780
143a360b6
152700830
hex1acc0a0

28098720 has 288 divisors, whose sum is σ = 110073600. Its totient is φ = 6469632.

The previous prime is 28098703. The next prime is 28098727. The reversal of 28098720 is 2789082.

It is a tau number, because it is divible by the number of its divisors (288).

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 (28098727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355641 + ... + 355719.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 228098720 is an apocalyptic number.

28098720 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 28098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

28098720 is an abundant number, since it is smaller than the sum of its proper divisors (81974880).

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

28098720 is a wasteful number, since it uses less digits than its factorization.

28098720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 28098720 is about 5300.8225776760. The cubic root of 28098720 is about 304.0153501021.

Adding to 28098720 its sum of digits (36), we get a triangular number (28098756 = T7496).

The spelling of 28098720 in words is "twenty-eight million, ninety-eight thousand, seven hundred twenty".