28738421084400 has 240 divisors, whose sum is σ = 92218787619840. Its totient is φ = 7650263577600.

The previous prime is 28738421084327. The next prime is 28738421084411. The reversal of 28738421084400 is 448012483782.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4685863734 + ... + 4685869866.

It is an arithmetic number, because the mean of its divisors is an integer number (384244948416).

Almost surely, 2^{28738421084400} is an apocalyptic number.

28738421084400 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 28738421084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46109393809920).

28738421084400 is an abundant number, since it is smaller than the sum of its proper divisors (63480366535440).

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

28738421084400 is a wasteful number, since it uses less digits than its factorization.

28738421084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12304 (or 12293 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 51.

The spelling of 28738421084400 in words is "twenty-eight trillion, seven hundred thirty-eight billion, four hundred twenty-one million, eighty-four thousand, four hundred".