3628428156672 has 288 divisors, whose sum is σ = 10898639265024. Its totient is φ = 1061985484800.

The previous prime is 3628428156667. The next prime is 3628428156721. The reversal of 3628428156672 is 2766518248263.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42780547 + ... + 42865277.

It is an arithmetic number, because the mean of its divisors is an integer number (37842497448).

Almost surely, 2^{3628428156672} is an apocalyptic number.

3628428156672 is a gapful number since it is divisible by the number (32) 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 3628428156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449319632512).

3628428156672 is an abundant number, since it is smaller than the sum of its proper divisors (7270211108352).

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

3628428156672 is a wasteful number, since it uses less digits than its factorization.

3628428156672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84935 (or 84921 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 3628428156672 in words is "three trillion, six hundred twenty-eight billion, four hundred twenty-eight million, one hundred fifty-six thousand, six hundred seventy-two".