3628428233760 has 768 divisors, whose sum is σ = 14801062348800. Its totient is φ = 820871884800.

The previous prime is 3628428233747. The next prime is 3628428233873. The reversal of 3628428233760 is 673328248263.

3628428233760 is a `hidden beast` number, since 3 + 6 + 28 + 4 + 282 + 337 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3628428233697 and 3628428233706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60462970 + ... + 60522950.

It is an arithmetic number, because the mean of its divisors is an integer number (19272216600).

Almost surely, 2^{3628428233760} is an apocalyptic number.

3628428233760 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 3628428233760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400531174400).

3628428233760 is an abundant number, since it is smaller than the sum of its proper divisors (11172634115040).

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

3628428233760 is a wasteful number, since it uses less digits than its factorization.

3628428233760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60102 (or 60088 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3628428233760 in words is "three trillion, six hundred twenty-eight billion, four hundred twenty-eight million, two hundred thirty-three thousand, seven hundred sixty".