838282500 has 240 divisors, whose sum is σ = 2965300800. Its totient is φ = 203040000.

The previous prime is 838282481. The next prime is 838282519. The reversal of 838282500 is 5282838.

838282500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (838282481) and next prime (838282519).

It is a super-3 number, since 3×838282500³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 741936 + ... + 743064.

It is an arithmetic number, because the mean of its divisors is an integer number (12355420).

Almost surely, 2^838282500 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 838282500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482650400).

838282500 is an abundant number, since it is smaller than the sum of its proper divisors (2127018300).

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

838282500 is a wasteful number, since it uses less digits than its factorization.

838282500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 838282500 is about 28953.1086413877. The cubic root of 838282500 is about 942.8952906643.

The spelling of 838282500 in words is "eight hundred thirty-eight million, two hundred eighty-two thousand, five hundred".