28624437072 has 800 divisors, whose sum is σ = 112004259840. Its totient is φ = 6829608960.

The previous prime is 28624437071. The next prime is 28624437073. The reversal of 28624437072 is 27073442682.

It is an interprime number because it is at equal distance from previous prime (28624437071) and next prime (28624437073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28624437071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 79733629 + ... + 79733987.

Almost surely, 2^28624437072 is an apocalyptic number.

28624437072 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 28624437072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56002129920).

28624437072 is an abundant number, since it is smaller than the sum of its proper divisors (83379822768).

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

28624437072 is a wasteful number, since it uses less digits than its factorization.

28624437072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 28624437072 in words is "twenty-eight billion, six hundred twenty-four million, four hundred thirty-seven thousand, seventy-two".