32628120000 has 840 divisors, whose sum is σ = 130260303360. Its totient is φ = 7176960000.

The previous prime is 32628119989. The next prime is 32628120001. The reversal of 32628120000 is 2182623.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32628120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 182279911 + ... + 182280089.

Almost surely, 2^32628120000 is an apocalyptic number.

32628120000 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 32628120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65130151680).

32628120000 is an abundant number, since it is smaller than the sum of its proper divisors (97632183360).

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

32628120000 is a wasteful number, since it uses less digits than its factorization.

32628120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

It can be divided in two parts, 32628 and 120000, that added together give a triangular number (152628 = T₅₅₂).

The spelling of 32628120000 in words is "thirty-two billion, six hundred twenty-eight million, one hundred twenty thousand".