Search a number
-
+
28252872990720 = 2133657295979
BaseRepresentation
bin1100110110010001000100…
…11101010110000000000000
310201000221121021222211000000
412123020202131112000000
512200343340441200340
6140031105104000000
75644126350010140
oct633104235260000
9121027537884000
1028252872990720
119002a81285a14
12320371a000000
13129c30823bb91
146d9636ad2920
1533edc6e6bd30
hex19b222756000

28252872990720 has 3136 divisors, whose sum is σ = 123770550528000. Its totient is φ = 6051849043968.

The previous prime is 28252872990613. The next prime is 28252872990721. The reversal of 28252872990720 is 2709927825282.

28252872990720 is a `hidden beast` number, since 2 + 82 + 528 + 7 + 2 + 9 + 9 + 0 + 7 + 20 = 666.

It is a super-2 number, since 2×282528729907202 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28252872990721) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 357631303641 + ... + 357631303719.

Almost surely, 228252872990720 is an apocalyptic number.

28252872990720 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 28252872990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61885275264000).

28252872990720 is an abundant number, since it is smaller than the sum of its proper divisors (95517677537280).

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

28252872990720 is an frugal number, since it uses more digits than its factorization.

28252872990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 28252872990720 in words is "twenty-eight trillion, two hundred fifty-two billion, eight hundred seventy-two million, nine hundred ninety thousand, seven hundred twenty".