Search a number
-
+
28117923840 = 21132517131137
BaseRepresentation
bin11010001011111101…
…010111100000000000
32200120120211112020200
4122023331113200000
5430041142030330
620530040405200
72013534260226
oct321375274000
980516745220
1028117923840
1110a19920396
125548776800
132861498976
14150a4c8b16
15ae87aba60
hex68bf57800

28117923840 has 576 divisors, whose sum is σ = 104730706080. Its totient is φ = 6952058880.

The previous prime is 28117923817. The next prime is 28117923859. The reversal of 28117923840 is 4832971182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 205240252 + ... + 205240388.

Almost surely, 228117923840 is an apocalyptic number.

28117923840 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 28117923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52365353040).

28117923840 is an abundant number, since it is smaller than the sum of its proper divisors (76612782240).

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

28117923840 is a wasteful number, since it uses less digits than its factorization.

28117923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 28117923840 in words is "twenty-eight billion, one hundred seventeen million, nine hundred twenty-three thousand, eight hundred forty".