85428001512 has 64 divisors (see below), whose sum is σ = 271200009600. Its totient is φ = 24408000000.

The previous prime is 85428001507. The next prime is 85428001517. The reversal of 85428001512 is 21510082458.

85428001512 is a `hidden beast` number, since 85 + 428 + 0 + 0 + 151 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (85428001507) and next prime (85428001517).

It is a super-2 number, since 2×85428001512² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85428001517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28248489 + ... + 28251512.

It is an arithmetic number, because the mean of its divisors is an integer number (4237500150).

Almost surely, 2^85428001512 is an apocalyptic number.

It is an amenable number.

85428001512 is an abundant number, since it is smaller than the sum of its proper divisors (185772008088).

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

85428001512 is a wasteful number, since it uses less digits than its factorization.

85428001512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56500023 (or 56500013 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 85428001512 in words is "eighty-five billion, four hundred twenty-eight million, one thousand, five hundred twelve".