30428347950 has 1152 divisors, whose sum is σ = 119692339200. Its totient is φ = 5519923200.

The previous prime is 30428347931. The next prime is 30428347979. The reversal of 30428347950 is 5974382403.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 30428347896 and 30428347905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 341891506 + ... + 341891594.

It is an arithmetic number, because the mean of its divisors is an integer number (103899600).

Almost surely, 2^30428347950 is an apocalyptic number.

30428347950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30428347950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59846169600).

30428347950 is an abundant number, since it is smaller than the sum of its proper divisors (89263991250).

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

30428347950 is a wasteful number, since it uses less digits than its factorization.

30428347950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 30428347950 in words is "thirty billion, four hundred twenty-eight million, three hundred forty-seven thousand, nine hundred fifty".