2888628480 has 432 divisors, whose sum is σ = 10687045824. Its totient is φ = 746496000.

The previous prime is 2888628467. The next prime is 2888628481. The reversal of 2888628480 is 848268882.

2888628480 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 628 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2888628480² = 16688348990934220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2888628481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11508355 + ... + 11508605.

It is an arithmetic number, because the mean of its divisors is an integer number (24738532).

Almost surely, 2^2888628480 is an apocalyptic number.

2888628480 is a gapful number since it is divisible by the number (20) 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 2888628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343522912).

2888628480 is an abundant number, since it is smaller than the sum of its proper divisors (7798417344).

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

2888628480 is an equidigital number, since it uses as much as digits as its factorization.

2888628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The square root of 2888628480 is about 53745.9624530066. The cubic root of 2888628480 is about 1424.1767654993.

The spelling of 2888628480 in words is "two billion, eight hundred eighty-eight million, six hundred twenty-eight thousand, four hundred eighty".