82009928 has 192 divisors, whose sum is σ = 223440000. Its totient is φ = 27941760.

The previous prime is 82009919. The next prime is 82009937. The reversal of 82009928 is 82990028.

It is an interprime number because it is at equal distance from previous prime (82009919) and next prime (82009937).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 82009891 and 82009900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4316303 + ... + 4316321.

It is an arithmetic number, because the mean of its divisors is an integer number (1163750).

Almost surely, 2^82009928 is an apocalyptic number.

82009928 is a gapful number since it is divisible by the number (88) 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 82009928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720000).

82009928 is an abundant number, since it is smaller than the sum of its proper divisors (141430072).

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

82009928 is a wasteful number, since it uses less digits than its factorization.

82009928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 82009928 is about 9055.9333036413. The cubic root of 82009928 is about 434.4656812076.

Subtracting 82009928 from its reverse (82990028), we obtain a square (980100 = 990²).

The spelling of 82009928 in words is "eighty-two million, nine thousand, nine hundred twenty-eight".