838628700 has 432 divisors, whose sum is σ = 3202295040. Its totient is φ = 165335040.

The previous prime is 838628663. The next prime is 838628723. The reversal of 838628700 is 7826838.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6033231 + ... + 6033369.

It is an arithmetic number, because the mean of its divisors is an integer number (7412720).

Almost surely, 2^838628700 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 838628700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601147520).

838628700 is an abundant number, since it is smaller than the sum of its proper divisors (2363666340).

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

838628700 is a wasteful number, since it uses less digits than its factorization.

838628700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 838628700 is about 28959.0866568682. The cubic root of 838628700 is about 943.0250740499.

The spelling of 838628700 in words is "eight hundred thirty-eight million, six hundred twenty-eight thousand, seven hundred".