6287948928 has 192 divisors, whose sum is σ = 18821668320. Its totient is φ = 2013327360.

The previous prime is 6287948911. The next prime is 6287948929. The reversal of 6287948928 is 8298497826.

6287948928 is a `hidden beast` number, since 62 + 8 + 79 + 489 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6287948928² = 79076603442272698368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6287948929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3163551 + ... + 3165537.

Almost surely, 2^6287948928 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 6287948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9410834160).

6287948928 is an abundant number, since it is smaller than the sum of its proper divisors (12533719392).

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

6287948928 is a wasteful number, since it uses less digits than its factorization.

6287948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2100 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 6287948928 is about 79296.5883755411. The cubic root of 6287948928 is about 1845.7363637017.

The spelling of 6287948928 in words is "six billion, two hundred eighty-seven million, nine hundred forty-eight thousand, nine hundred twenty-eight".