Search a number
-
+
28925053678080 = 293257431101167
BaseRepresentation
bin1101001001110101000111…
…00011001011001000000000
310210102012121201112201001100
412210322203203023020000
512242402002220144310
6141303553004534400
76043523536410000
oct644724343131000
9123365551481040
1028925053678080
1192420567aa23a
1232b1a51b51400
13131a80c042a81
1471dda1440000
15352618a9eec0
hex1a4ea38cb200

28925053678080 has 2400 divisors, whose sum is σ = 122558313765888. Its totient is φ = 6296887296000.

The previous prime is 28925053678069. The next prime is 28925053678097. The reversal of 28925053678080 is 8087635052982.

28925053678080 is a `hidden beast` number, since 2 + 8 + 9 + 25 + 0 + 536 + 78 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 28925053677999 and 28925053678017.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 173203914157 + ... + 173203914323.

Almost surely, 228925053678080 is an apocalyptic number.

28925053678080 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 28925053678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61279156882944).

28925053678080 is an abundant number, since it is smaller than the sum of its proper divisors (93633260087808).

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

28925053678080 is a wasteful number, since it uses less digits than its factorization.

28925053678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 28925053678080 in words is "twenty-eight trillion, nine hundred twenty-five billion, fifty-three million, six hundred seventy-eight thousand, eighty".