38528733782583 has 48 divisors (see below), whose sum is σ = 62505261780000. Its totient is φ = 22664096317440.

The previous prime is 38528733782551. The next prime is 38528733782611.

38528733782583 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 8 + 7 + 3 + 37 + 8 + 2 + 583 = 666.

38528733782583 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38528733782583 - 2⁵ = 38528733782551 is a prime.

It is a super-2 number, since 2×38528733782583² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38528733782503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11360458 + ... + 14356791.

It is an arithmetic number, because the mean of its divisors is an integer number (1302192953750).

Almost surely, 2^{38528733782583} is an apocalyptic number.

38528733782583 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38528733782583 is a deficient number, since it is larger than the sum of its proper divisors (23976527997417).

38528733782583 is a wasteful number, since it uses less digits than its factorization.

38528733782583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25717712 (or 25717709 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 72.

The spelling of 38528733782583 in words is "thirty-eight trillion, five hundred twenty-eight billion, seven hundred thirty-three million, seven hundred eighty-two thousand, five hundred eighty-three".