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28012374240 = 25351741101829
BaseRepresentation
bin11010000101101010…
…101110100011100000
32200022020020001102020
4122011222232203200
5424332131433430
620511350221440
72011113152364
oct320552564340
980266201366
1028012374240
1110975289414
125519354880
132845661196
1414da4912a4
15ade3acb10
hex685aae8e0

28012374240 has 384 divisors, whose sum is σ = 96772475520. Its totient is φ = 6782976000.

The previous prime is 28012374193. The next prime is 28012374263. The reversal of 28012374240 is 4247321082.

It is a happy number.

It is a super-2 number, since 2×280123742402 (a number of 22 digits) contains 22 as substring.

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, 33790146 + ... + 33790974.

It is an arithmetic number, because the mean of its divisors is an integer number (252011655).

Almost surely, 228012374240 is an apocalyptic number.

28012374240 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 28012374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48386237760).

28012374240 is an abundant number, since it is smaller than the sum of its proper divisors (68760101280).

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

28012374240 is a wasteful number, since it uses less digits than its factorization.

28012374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 28012374240 in words is "twenty-eight billion, twelve million, three hundred seventy-four thousand, two hundred forty".