35428505952 has 384 divisors, whose sum is σ = 117484093440. Its totient is φ = 9114716160.

The previous prime is 35428505947. The next prime is 35428505963. The reversal of 35428505952 is 25950582453.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65486802 + ... + 65487342.

It is an arithmetic number, because the mean of its divisors is an integer number (305948160).

Almost surely, 2^35428505952 is an apocalyptic number.

35428505952 is a gapful number since it is divisible by the number (32) 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 35428505952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58742046720).

35428505952 is an abundant number, since it is smaller than the sum of its proper divisors (82055587488).

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

35428505952 is a wasteful number, since it uses less digits than its factorization.

35428505952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 35428505952 in words is "thirty-five billion, four hundred twenty-eight million, five hundred five thousand, nine hundred fifty-two".