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28400153600 = 2105271373167
BaseRepresentation
bin11010011100110001…
…111111010000000000
32201022020220021200202
4122130301333100000
5431130414403400
621014041504332
72023532215430
oct323461772000
981266807622
1028400153600
1111054167825
1256071a20a8
1328a7ab4220
141535b942c0
15b1345a4d5
hex69cc7f400

28400153600 has 528 divisors, whose sum is σ = 88356511488. Its totient is φ = 8811970560.

The previous prime is 28400153599. The next prime is 28400153699. The reversal of 28400153600 is 635100482.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170060717 + ... + 170060883.

Almost surely, 228400153600 is an apocalyptic number.

28400153600 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 28400153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44178255744).

28400153600 is an abundant number, since it is smaller than the sum of its proper divisors (59956357888).

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

28400153600 is a wasteful number, since it uses less digits than its factorization.

28400153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 28400153600 in words is "twenty-eight billion, four hundred million, one hundred fifty-three thousand, six hundred".