28540416000 has 416 divisors, whose sum is σ = 100649435328. Its totient is φ = 7156531200.

The previous prime is 28540415999. The next prime is 28540416103. The reversal of 28540416000 is 61404582.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26111454 + ... + 26112546.

It is an arithmetic number, because the mean of its divisors is an integer number (241945758).

Almost surely, 2^28540416000 is an apocalyptic number.

28540416000 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 28540416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50324717664).

28540416000 is an abundant number, since it is smaller than the sum of its proper divisors (72109019328).

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

28540416000 is a wasteful number, since it uses less digits than its factorization.

28540416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 28540416000 in words is "twenty-eight billion, five hundred forty million, four hundred sixteen thousand".