4007828160 has 672 divisors, whose sum is σ = 16863974400. Its totient is φ = 886837248.

The previous prime is 4007828129. The next prime is 4007828173. The reversal of 4007828160 is 618287004.

4007828160 is a `hidden beast` number, since 400 + 78 + 28 + 160 = 666.

4007828160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20139741 + ... + 20139939.

It is an arithmetic number, because the mean of its divisors is an integer number (25095200).

Almost surely, 2^4007828160 is an apocalyptic number.

4007828160 is a gapful number since it is divisible by the number (40) 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 4007828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8431987200).

4007828160 is an abundant number, since it is smaller than the sum of its proper divisors (12856146240).

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

4007828160 is a wasteful number, since it uses less digits than its factorization.

4007828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4007828160 is about 63307.4099928279. The cubic root of 4007828160 is about 1588.4359129583.

The spelling of 4007828160 in words is "four billion, seven million, eight hundred twenty-eight thousand, one hundred sixty".