28428151041036 has 288 divisors, whose sum is σ = 79935061606400. Its totient is φ = 8481754270080.

The previous prime is 28428151040929. The next prime is 28428151041047. The reversal of 28428151041036 is 63014015182482.

28428151041036 is a `hidden beast` number, since 2 + 8 + 4 + 28 + 1 + 510 + 4 + 103 + 6 = 666.

It is a super-2 number, since 2×28428151041036² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28428151040982 and 28428151041000.

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, 2413454595 + ... + 2413466373.

Almost surely, 2^{28428151041036} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28428151041036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39967530803200).

28428151041036 is an abundant number, since it is smaller than the sum of its proper divisors (51506910565364).

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

28428151041036 is a wasteful number, since it uses less digits than its factorization.

28428151041036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14529 (or 14524 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 28428151041036 in words is "twenty-eight trillion, four hundred twenty-eight billion, one hundred fifty-one million, forty-one thousand, thirty-six".