28988614549440 has 2352 divisors, whose sum is σ = 130250954278368. Its totient is φ = 6088218329088.

The previous prime is 28988614549429. The next prime is 28988614549459. The reversal of 28988614549440 is 4494541688982.

28988614549440 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 86 + 1 + 454 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 55427561019 + ... + 55427561541.

Almost surely, 2^{28988614549440} is an apocalyptic number.

28988614549440 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 28988614549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65125477139184).

28988614549440 is an abundant number, since it is smaller than the sum of its proper divisors (101262339728928).

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

28988614549440 is a wasteful number, since it uses less digits than its factorization.

28988614549440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 28988614549440 in words is "twenty-eight trillion, nine hundred eighty-eight billion, six hundred fourteen million, five hundred forty-nine thousand, four hundred forty".