84628341000 has 768 divisors, whose sum is σ = 348794035200. Its totient is φ = 18918144000.

The previous prime is 84628340987. The next prime is 84628341041. The reversal of 84628341000 is 14382648.

It is a super-2 number, since 2×84628341000² (a number of 23 digits) contains 22 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 191 ways as a sum of consecutive naturals, for example, 62180320 + ... + 62181680.

It is an arithmetic number, because the mean of its divisors is an integer number (454158900).

Almost surely, 2^84628341000 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 84628341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174397017600).

84628341000 is an abundant number, since it is smaller than the sum of its proper divisors (264165694200).

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

84628341000 is a wasteful number, since it uses less digits than its factorization.

84628341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 84628341000 in words is "eighty-four billion, six hundred twenty-eight million, three hundred forty-one thousand".