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28094584320 = 2934511109113
BaseRepresentation
bin11010001010100100…
…010101011000000000
32200111221220202110000
4122022210111120000
5430014203144240
620523444240000
72013132012045
oct321244253000
980457822400
1028094584320
1110a0772a030
1255409a0000
1328596b64ba
1415073711cc
15ae66eb430
hex68a915600

28094584320 has 800 divisors, whose sum is σ = 111761195040. Its totient is φ = 6688604160.

The previous prime is 28094584313. The next prime is 28094584321. The reversal of 28094584320 is 2348549082.

28094584320 is a `hidden beast` number, since 2 + 80 + 94 + 58 + 432 + 0 = 666.

It is a super-2 number, since 2×280945843202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28094584321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248624584 + ... + 248624696.

Almost surely, 228094584320 is an apocalyptic number.

28094584320 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 28094584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55880597520).

28094584320 is an abundant number, since it is smaller than the sum of its proper divisors (83666610720).

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

28094584320 is a wasteful number, since it uses less digits than its factorization.

28094584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28094584320 in words is "twenty-eight billion, ninety-four million, five hundred eighty-four thousand, three hundred twenty".