2816428032 has 288 divisors, whose sum is σ = 9199008000. Its totient is φ = 822312960.

The previous prime is 2816428019. The next prime is 2816428037. The reversal of 2816428032 is 2308246182.

2816428032 is a `hidden beast` number, since 2 + 8 + 1 + 642 + 8 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2816428032³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2816428037) 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, 5879569 + ... + 5880047.

It is an arithmetic number, because the mean of its divisors is an integer number (31941000).

Almost surely, 2^2816428032 is an apocalyptic number.

2816428032 is a gapful number since it is divisible by the number (22) 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 2816428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504000).

2816428032 is an abundant number, since it is smaller than the sum of its proper divisors (6382579968).

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

2816428032 is a wasteful number, since it uses less digits than its factorization.

2816428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2816428032 is about 53070.0295081885. The cubic root of 2816428032 is about 1412.2108788985.

The spelling of 2816428032 in words is "two billion, eight hundred sixteen million, four hundred twenty-eight thousand, thirty-two".