4162778928 has 180 divisors, whose sum is σ = 14784319368. Its totient is φ = 1081221120.

The previous prime is 4162778927. The next prime is 4162778941. The reversal of 4162778928 is 8298772614.

It is a happy number.

4162778928 is a `hidden beast` number, since 4 + 1 + 627 + 7 + 8 + 9 + 2 + 8 = 666.

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 (4162778927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50800 + ... + 104432.

Almost surely, 2^4162778928 is an apocalyptic number.

4162778928 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 4162778928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392159684).

4162778928 is an abundant number, since it is smaller than the sum of its proper divisors (10621540440).

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

4162778928 is a wasteful number, since it uses less digits than its factorization.

4162778928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53672 (or 53656 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 4162778928 is about 64519.6011147000. The cubic root of 4162778928 is about 1608.6483425493.

The spelling of 4162778928 in words is "four billion, one hundred sixty-two million, seven hundred seventy-eight thousand, nine hundred twenty-eight".