28880511421440 has 352 divisors, whose sum is σ = 105587680356864. Its totient is φ = 6600065679360.

The previous prime is 28880511421403. The next prime is 28880511421507. The reversal of 28880511421440 is 4412411508882.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28880511421440.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 683913607 + ... + 683955833.

Almost surely, 2^{28880511421440} is an apocalyptic number.

28880511421440 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 28880511421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52793840178432).

28880511421440 is an abundant number, since it is smaller than the sum of its proper divisors (76707168935424).

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

28880511421440 is a wasteful number, since it uses less digits than its factorization.

28880511421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48623 (or 48605 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 48.

The spelling of 28880511421440 in words is "twenty-eight trillion, eight hundred eighty billion, five hundred eleven million, four hundred twenty-one thousand, four hundred forty".