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28402790400 = 212335210273
BaseRepresentation
bin11010011100111100…
…000011000000000000
32201022102212020201000
4122130330003000000
5431132103243100
621014214212000
72023563510045
oct323474030000
981272766630
1028402790400
11110556a88a6
125608054000
1328a84c846a
14153627d1cc
15b137cb900
hex69cf03000

28402790400 has 312 divisors, whose sum is σ = 104351374160. Its totient is φ = 7573340160.

The previous prime is 28402790369. The next prime is 28402790417. The reversal of 28402790400 is 409720482.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2759664 + ... + 2769936.

Almost surely, 228402790400 is an apocalyptic number.

28402790400 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 28402790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52175687080).

28402790400 is an abundant number, since it is smaller than the sum of its proper divisors (75948583760).

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

28402790400 is a wasteful number, since it uses less digits than its factorization.

28402790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10316 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28402790400 in words is "twenty-eight billion, four hundred two million, seven hundred ninety thousand, four hundred".