1627965248 has 224 divisors, whose sum is σ = 4194828288. Its totient is φ = 609638400.

The previous prime is 1627965233. The next prime is 1627965289. The reversal of 1627965248 is 8425697261.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1627965196 and 1627965205.

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, 12818561 + ... + 12818687.

It is an arithmetic number, because the mean of its divisors is an integer number (18726912).

Almost surely, 2^1627965248 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 1627965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097414144).

1627965248 is an abundant number, since it is smaller than the sum of its proper divisors (2566863040).

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

1627965248 is a wasteful number, since it uses less digits than its factorization.

1627965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

The square root of 1627965248 is about 40348.0513531942. The cubic root of 1627965248 is about 1176.3820160488.

The spelling of 1627965248 in words is "one billion, six hundred twenty-seven million, nine hundred sixty-five thousand, two hundred forty-eight".