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28655460 = 22325397401
BaseRepresentation
bin110110101001…
…1111101100100
31222220211220100
41231103331210
524313433320
62502104100
7465365421
oct155237544
958824810
1028655460
11151a22a9
12971b030
135c23cc2
143b3cd48
1527b0790
hex1b53f64

28655460 has 72 divisors (see below), whose sum is σ = 87357816. Its totient is φ = 7603200.

The previous prime is 28655443. The next prime is 28655461. The reversal of 28655460 is 6455682.

It can be written as a sum of positive squares in 4 ways, for example, as 13351716 + 15303744 = 3654^2 + 3912^2 .

It is a super-2 number, since 2×286554602 = 1642270775623200, which contains 22 as substring.

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 (28655461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71260 + ... + 71660.

It is an arithmetic number, because the mean of its divisors is an integer number (1213303).

Almost surely, 228655460 is an apocalyptic number.

28655460 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 28655460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43678908).

28655460 is an abundant number, since it is smaller than the sum of its proper divisors (58702356).

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

28655460 is a wasteful number, since it uses less digits than its factorization.

28655460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 28655460 is about 5353.0794875473. The cubic root of 28655460 is about 306.0101239762.

The spelling of 28655460 in words is "twenty-eight million, six hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 401 794 802 1191 1203 1588 1604 1985 2005 2382 2406 3573 3609 3970 4010 4764 4812 5955 6015 7146 7218 7940 8020 11910 12030 14292 14436 17865 18045 23820 24060 35730 36090 71460 72180 159197 318394 477591 636788 795985 955182 1432773 1591970 1910364 2387955 2865546 3183940 4775910 5731092 7163865 9551820 14327730 28655460