Search a number
-
+
28020142080 = 212345719127
BaseRepresentation
bin11010000110001000…
…010111000000000000
32200022202211200220000
4122012020113000000
5424341124021310
620512224520000
72011236164220
oct320610270000
980282750800
1028020142080
1110979704517
12551ba80000
132847150a38
1414db514080
15adede44c0
hex686217000

28020142080 has 1040 divisors, whose sum is σ = 121787719680. Its totient is φ = 6019743744.

The previous prime is 28020142057. The next prime is 28020142121. The reversal of 28020142080 is 8024102082.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 220630977 + ... + 220631103.

Almost surely, 228020142080 is an apocalyptic number.

28020142080 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 28020142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60893859840).

28020142080 is an abundant number, since it is smaller than the sum of its proper divisors (93767577600).

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

28020142080 is a wasteful number, since it uses less digits than its factorization.

28020142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 28020142080 in words is "twenty-eight billion, twenty million, one hundred forty-two thousand, eighty".