82028037 has 48 divisors (see below), whose sum is σ = 140192640. Its totient is φ = 41723136.

The previous prime is 82028021. The next prime is 82028057. The reversal of 82028037 is 73082028.

It is not a de Polignac number, because 82028037 - 2⁴ = 82028021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82027995 and 82028013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82028017) 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, 102523 + ... + 103319.

It is an arithmetic number, because the mean of its divisors is an integer number (2920680).

Almost surely, 2^82028037 is an apocalyptic number.

82028037 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

82028037 is a deficient number, since it is larger than the sum of its proper divisors (58164603).

82028037 is a wasteful number, since it uses less digits than its factorization.

82028037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 82028037 is about 9056.9330901801. The cubic root of 82028037 is about 434.4976576613.

The spelling of 82028037 in words is "eighty-two million, twenty-eight thousand, thirty-seven".