28961552605440 has 1728 divisors, whose sum is σ = 118253194278912. Its totient is φ = 5911039180800.

The previous prime is 28961552605439. The next prime is 28961552605459. The reversal of 28961552605440 is 4450625516982.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24398948527 + ... + 24398949713.

It is an arithmetic number, because the mean of its divisors is an integer number (68433561504).

Almost surely, 2^{28961552605440} is an apocalyptic number.

28961552605440 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 28961552605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59126597139456).

28961552605440 is an abundant number, since it is smaller than the sum of its proper divisors (89291641673472).

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

28961552605440 is a wasteful number, since it uses less digits than its factorization.

28961552605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 28961552605440 in words is "twenty-eight trillion, nine hundred sixty-one billion, five hundred fifty-two million, six hundred five thousand, four hundred forty".