Search a number
-
+
28375593837472 = 25743711272391367
BaseRepresentation
bin1100111001110101101010…
…01100001110001110100000
310201110200100220220202120101
412130322311030032032200
512204401204010244342
6140203322353352144
75656032445002310
oct634726514161640
9121420326822511
1028375593837472
119050026a75512
123223468b68654
1312aaa6502b62b
14701559537440
153431aac243b7
hex19ceb530e3a0

28375593837472 has 384 divisors, whose sum is σ = 67100076933120. Its totient is φ = 11561568721920.

The previous prime is 28375593837449. The next prime is 28375593837523. The reversal of 28375593837472 is 27473839557382.

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28375593837395 and 28375593837404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20757566133 + ... + 20757567499.

It is an arithmetic number, because the mean of its divisors is an integer number (174739783680).

Almost surely, 228375593837472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28375593837472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33550038466560).

28375593837472 is an abundant number, since it is smaller than the sum of its proper divisors (38724483095648).

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

28375593837472 is a wasteful number, since it uses less digits than its factorization.

28375593837472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1856 counting only the distinct ones).

The product of its digits is 2133734400, while the sum is 73.

The spelling of 28375593837472 in words is "twenty-eight trillion, three hundred seventy-five billion, five hundred ninety-three million, eight hundred thirty-seven thousand, four hundred seventy-two".