4277628992 has 448 divisors, whose sum is σ = 12016435200. Its totient is φ = 1463132160.

The previous prime is 4277628991. The next prime is 4277629007. The reversal of 4277628992 is 2998267724.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

Its product of digits (6096384) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4277628991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99479723 + ... + 99479765.

It is an arithmetic number, because the mean of its divisors is an integer number (26822400).

Almost surely, 2^4277628992 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 4277628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008217600).

4277628992 is an abundant number, since it is smaller than the sum of its proper divisors (7738806208).

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

4277628992 is a wasteful number, since it uses less digits than its factorization.

4277628992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 56.

The square root of 4277628992 is about 65403.5854674650. The cubic root of 4277628992 is about 1623.3084083141.

The spelling of 4277628992 in words is "four billion, two hundred seventy-seven million, six hundred twenty-eight thousand, nine hundred ninety-two".