962028900 has 540 divisors, whose sum is σ = 3841504128. Its totient is φ = 203886720.

The previous prime is 962028887. The next prime is 962028901. The reversal of 962028900 is 9820269.

962028900 is a `hidden beast` number, since 9 + 620 + 28 + 9 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 (962028901) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 20468677 + ... + 20468723.

Almost surely, 2^962028900 is an apocalyptic number.

962028900 is a gapful number since it is divisible by the number (90) 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 962028900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920752064).

962028900 is an abundant number, since it is smaller than the sum of its proper divisors (2879475228).

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

962028900 is a wasteful number, since it uses less digits than its factorization.

962028900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 962028900 is about 31016.5907217412. The cubic root of 962028900 is about 987.1792987336.

The spelling of 962028900 in words is "nine hundred sixty-two million, twenty-eight thousand, nine hundred".