28501127040 has 256 divisors, whose sum is σ = 94261708800. Its totient is φ = 7319470080.

The previous prime is 28501127029. The next prime is 28501127041. The reversal of 28501127040 is 4072110582.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28501126989 and 28501127007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28501127041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6216589 + ... + 6221171.

It is an arithmetic number, because the mean of its divisors is an integer number (368209800).

Almost surely, 2^28501127040 is an apocalyptic number.

28501127040 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 28501127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47130854400).

28501127040 is an abundant number, since it is smaller than the sum of its proper divisors (65760581760).

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

28501127040 is a wasteful number, since it uses less digits than its factorization.

28501127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 28501127040 in words is "twenty-eight billion, five hundred one million, one hundred twenty-seven thousand, forty".