28531077120 has 1248 divisors, whose sum is σ = 128636706240. Its totient is φ = 6019743744.

The previous prime is 28531077119. The next prime is 28531077131. The reversal of 28531077120 is 2177013582.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2194698234 + ... + 2194698246.

Almost surely, 2^28531077120 is an apocalyptic number.

28531077120 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 28531077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318353120).

28531077120 is an abundant number, since it is smaller than the sum of its proper divisors (100105629120).

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

28531077120 is an frugal number, since it uses more digits than its factorization.

28531077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 28531077120 in words is "twenty-eight billion, five hundred thirty-one million, seventy-seven thousand, one hundred twenty".