1952928 has 36 divisors (see below), whose sum is σ = 5554458. Its totient is φ = 650880.

The previous prime is 1952921. The next prime is 1952933. The reversal of 1952928 is 8292591.

It can be written as a sum of positive squares in only one way, i.e., 1710864 + 242064 = 1308^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1952892 and 1952901.

It is not an unprimeable number, because it can be changed into a prime (1952921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3103 + ... + 3678.

2^1952928 is an apocalyptic number.

1952928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1952928 is an abundant number, since it is smaller than the sum of its proper divisors (3601530).

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

1952928 is a wasteful number, since it uses less digits than its factorization.

1952928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6786 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1952928 is about 1397.4720032974. The cubic root of 1952928 is about 124.9957971920.

The spelling of 1952928 in words is "one million, nine hundred fifty-two thousand, nine hundred twenty-eight".