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28459440 = 2432529247
BaseRepresentation
bin110110010010…
…0000110110000
31222112220000100
41230210012300
524241200230
62453552400
7463621062
oct154440660
958486010
1028459440
1115078aa9
129645700
135b85a09
143acb732
152772660
hex1b241b0

28459440 has 180 divisors, whose sum is σ = 101091744. Its totient is φ = 7171584.

The previous prime is 28459429. The next prime is 28459451. The reversal of 28459440 is 4495482.

28459440 is a `hidden beast` number, since 28 + 4 + 594 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (28459429) and next prime (28459451).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×284594402 = 1619879450227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28459395 and 28459404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 605497 + ... + 605543.

Almost surely, 228459440 is an apocalyptic number.

28459440 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 28459440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50545872).

28459440 is an abundant number, since it is smaller than the sum of its proper divisors (72632304).

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

28459440 is a wasteful number, since it uses less digits than its factorization.

28459440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 28459440 is about 5334.7389814311. The cubic root of 28459440 is about 305.3107645051.

The spelling of 28459440 in words is "twenty-eight million, four hundred fifty-nine thousand, four hundred forty".