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28919006424 = 233371112713691
BaseRepresentation
bin11010111011101101…
…010000010011011000
32202122102012201222000
4122323231100103120
5433211231201144
621141334401000
72042432333040
oct327355202330
982572181860
1028919006424
11112a0030610
125730b00160
13295b43a529
141584a56720
15b43c99769
hex6bbb504d8

28919006424 has 256 divisors, whose sum is σ = 100948377600. Its totient is φ = 7451740800.

The previous prime is 28919006407. The next prime is 28919006437. The reversal of 28919006424 is 42460091982.

It is a self number, because there is not a number n which added to its sum of digits gives 28919006424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2105419 + ... + 2119109.

It is an arithmetic number, because the mean of its divisors is an integer number (394329600).

Almost surely, 228919006424 is an apocalyptic number.

28919006424 is a gapful number since it is divisible by the number (24) 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 28919006424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50474188800).

28919006424 is an abundant number, since it is smaller than the sum of its proper divisors (72029371176).

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

28919006424 is a wasteful number, since it uses less digits than its factorization.

28919006424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13851 (or 13841 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 28919006424 in words is "twenty-eight billion, nine hundred nineteen million, six thousand, four hundred twenty-four".