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28694569680 = 24335729312111
BaseRepresentation
bin11010101110010101…
…000110001011010000
32202001202220011122000
4122232111012023100
5432231302212210
621103200114000
72034035550360
oct325625061320
982052804560
1028694569680
11111953779a7
125689905900
132923aa851a
141562d129a0
15b2e214ac0
hex6ae5462d0

28694569680 has 640 divisors, whose sum is σ = 120677990400. Its totient is φ = 6125414400.

The previous prime is 28694569669. The next prime is 28694569693. The reversal of 28694569680 is 8696549682.

28694569680 is a `hidden beast` number, since 2 + 8 + 6 + 9 + 4 + 569 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13591825 + ... + 13593935.

It is an arithmetic number, because the mean of its divisors is an integer number (188559360).

Almost surely, 228694569680 is an apocalyptic number.

28694569680 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 28694569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60338995200).

28694569680 is an abundant number, since it is smaller than the sum of its proper divisors (91983420720).

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

28694569680 is a wasteful number, since it uses less digits than its factorization.

28694569680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 28694569680 in words is "twenty-eight billion, six hundred ninety-four million, five hundred sixty-nine thousand, six hundred eighty".