42985100928 has 384 divisors, whose sum is σ = 144246735360. Its totient is φ = 11101685760.

The previous prime is 42985100903. The next prime is 42985100953. The reversal of 42985100928 is 82900158924.

It is an interprime number because it is at equal distance from previous prime (42985100903) and next prime (42985100953).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×42985100928² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92044951 + ... + 92045417.

It is an arithmetic number, because the mean of its divisors is an integer number (375642540).

Almost surely, 2^42985100928 is an apocalyptic number.

42985100928 is a gapful number since it is divisible by the number (48) 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 42985100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72123367680).

42985100928 is an abundant number, since it is smaller than the sum of its proper divisors (101261634432).

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

42985100928 is a wasteful number, since it uses less digits than its factorization.

42985100928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 42985100928 in words is "forty-two billion, nine hundred eighty-five million, one hundred thousand, nine hundred twenty-eight".