4967414928 has 120 divisors (see below), whose sum is σ = 15971644416. Its totient is φ = 1411776000.

The previous prime is 4967414927. The next prime is 4967414987. The reversal of 4967414928 is 8294147694.

4967414928 is a `hidden beast` number, since 496 + 7 + 4 + 149 + 2 + 8 = 666.

It is a super-2 number, since 2×4967414928² = 49350422133834490368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4967414923) 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, 179628 + ... + 205428.

Almost surely, 2^4967414928 is an apocalyptic number.

4967414928 is a gapful number since it is divisible by the number (48) 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 4967414928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985822208).

4967414928 is an abundant number, since it is smaller than the sum of its proper divisors (11004229488).

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

4967414928 is a wasteful number, since it uses less digits than its factorization.

4967414928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26013 (or 26004 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4967414928 is about 70479.8902382800. The cubic root of 4967414928 is about 1706.2532019100.

The spelling of 4967414928 in words is "four billion, nine hundred sixty-seven million, four hundred fourteen thousand, nine hundred twenty-eight".