28072701540 has 216 divisors, whose sum is σ = 93131169768. Its totient is φ = 6841036800.

The previous prime is 28072701493. The next prime is 28072701551. The reversal of 28072701540 is 4510727082.

It can be written as a sum of positive squares in 12 ways, for example, as 17283309156 + 10789392384 = 131466^2 + 103872^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 28072701495 and 28072701504.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3067852 + ... + 3076988.

It is an arithmetic number, because the mean of its divisors is an integer number (431162823).

Almost surely, 2^28072701540 is an apocalyptic number.

28072701540 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 28072701540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46565584884).

28072701540 is an abundant number, since it is smaller than the sum of its proper divisors (65058468228).

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

28072701540 is a wasteful number, since it uses less digits than its factorization.

28072701540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9279 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 28072701540 in words is "twenty-eight billion, seventy-two million, seven hundred one thousand, five hundred forty".