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28153232640 = 2833513223281
BaseRepresentation
bin11010001110000100…
…000011110100000000
32200200001021101211000
4122032010003310000
5430124211421030
620533341252000
72014443346311
oct321604036400
980601241730
1028153232640
1110a37847415
125558564000
1328688ac150
14151107a608
15aeb933860
hex68e103d00

28153232640 has 576 divisors, whose sum is σ = 108456929280. Its totient is φ = 6874398720.

The previous prime is 28153232617. The next prime is 28153232647. The reversal of 28153232640 is 4623235182.

28153232640 is a `hidden beast` number, since 2 + 8 + 1 + 5 + 3 + 2 + 3 + 2 + 640 = 666.

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

It is a super-2 number, since 2×281532326402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28153232595 and 28153232604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28153232647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100189300 + ... + 100189580.

It is an arithmetic number, because the mean of its divisors is an integer number (188293280).

Almost surely, 228153232640 is an apocalyptic number.

28153232640 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 28153232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54228464640).

28153232640 is an abundant number, since it is smaller than the sum of its proper divisors (80303696640).

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

28153232640 is a wasteful number, since it uses less digits than its factorization.

28153232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 28153232640 in words is "twenty-eight billion, one hundred fifty-three million, two hundred thirty-two thousand, six hundred forty".