28157055313920 has 1536 divisors, whose sum is σ = 104825290752000. Its totient is φ = 6394305576960.

The previous prime is 28157055313909. The next prime is 28157055313949. The reversal of 28157055313920 is 2931355075182.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58782996241 + ... + 58782996719.

It is an arithmetic number, because the mean of its divisors is an integer number (68245632000).

Almost surely, 2^{28157055313920} is an apocalyptic number.

28157055313920 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 28157055313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52412645376000).

28157055313920 is an abundant number, since it is smaller than the sum of its proper divisors (76668235438080).

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

28157055313920 is a wasteful number, since it uses less digits than its factorization.

28157055313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 28157055313920 in words is "twenty-eight trillion, one hundred fifty-seven billion, fifty-five million, three hundred thirteen thousand, nine hundred twenty".