34628928000000 has 1456 divisors, whose sum is σ = 121911235766208. Its totient is φ = 8732672000000.

The previous prime is 34628927999971. The next prime is 34628928000047. The reversal of 34628928000000 is 82982643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 417215999959 + ... + 417216000041.

Almost surely, 2^{34628928000000} is an apocalyptic number.

34628928000000 is a gapful number since it is divisible by the number (30) 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 34628928000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60955617883104).

34628928000000 is an abundant number, since it is smaller than the sum of its proper divisors (87282307766208).

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

34628928000000 is an frugal number, since it uses more digits than its factorization.

34628928000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 34628928000000 in words is "thirty-four trillion, six hundred twenty-eight billion, nine hundred twenty-eight million", and thus it is an aban number.